Finding the Fourth Proportional to 82,023.50, 113,192.82 and 46,214.08

Step by Step Solution

1. Step 1: Write the proportion equation
   82,023.50 : 113,192.82 = 46,214.08 : x
2. Step 2: Convert to fraction form
   82,023.50/113,192.82 = 46,214.08/x
3. Step 3: Cross multiply
   82,023.50x = 113,192.82 × 46,214.08
4. Step 4: Simplify right side
   82,023.50x = 5,231,102,038.91
5. Step 5: Solve for x
   x = 5,231,102,038.91/82,023.50
6. Step 6: Final answer
   x = 63,775.65