Finding the Fourth Proportional to 1,061.02, 1,464.16 and 588.90

Step by Step Solution

1. Step 1: Write the proportion equation
   1,061.02 : 1,464.16 = 588.90 : x
2. Step 2: Convert to fraction form
   1,061.02/1,464.16 = 588.90/x
3. Step 3: Cross multiply
   1,061.02x = 1,464.16 × 588.90
4. Step 4: Simplify right side
   1,061.02x = 862,243.82
5. Step 5: Solve for x
   x = 862,243.82/1,061.02
6. Step 6: Final answer
   x = 812.66