Finding the Fourth Proportional to 1,060.47, 1,463.46 and 588.40

Step by Step Solution

1. Step 1: Write the proportion equation
   1,060.47 : 1,463.46 = 588.40 : x
2. Step 2: Convert to fraction form
   1,060.47/1,463.46 = 588.40/x
3. Step 3: Cross multiply
   1,060.47x = 1,463.46 × 588.40
4. Step 4: Simplify right side
   1,060.47x = 861,099.86
5. Step 5: Solve for x
   x = 861,099.86/1,060.47
6. Step 6: Final answer
   x = 812.00