Finding the Fourth Proportional to 1,566.72, 2,350.32 and 412.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,566.72 : 2,350.32 = 412.56 : x
2. Step 2: Convert to fraction form
   1,566.72/2,350.32 = 412.56/x
3. Step 3: Cross multiply
   1,566.72x = 2,350.32 × 412.56
4. Step 4: Simplify right side
   1,566.72x = 969,648.02
5. Step 5: Solve for x
   x = 969,648.02/1,566.72
6. Step 6: Final answer
   x = 618.90