Finding the Fourth Proportional to 378,945.24, 522,948.06 and 209,175.72

Step by Step Solution

1. Step 1: Write the proportion equation
   378,945.24 : 522,948.06 = 209,175.72 : x
2. Step 2: Convert to fraction form
   378,945.24/522,948.06 = 209,175.72/x
3. Step 3: Cross multiply
   378,945.24x = 522,948.06 × 209,175.72
4. Step 4: Simplify right side
   378,945.24x = 109,388,036,973.10
5. Step 5: Solve for x
   x = 109,388,036,973.10/378,945.24
6. Step 6: Final answer
   x = 288,664.50