Finding the Fourth Proportional to 1,062.57, 1,466.42 and 590.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,062.57 : 1,466.42 = 590.50 : x
2. Step 2: Convert to fraction form
   1,062.57/1,466.42 = 590.50/x
3. Step 3: Cross multiply
   1,062.57x = 1,466.42 × 590.50
4. Step 4: Simplify right side
   1,062.57x = 865,921.01
5. Step 5: Solve for x
   x = 865,921.01/1,062.57
6. Step 6: Final answer
   x = 814.93