Finding the Fourth Proportional to 1,007.99, 1,391.06 and 588.61

Step by Step Solution

1. Step 1: Write the proportion equation
   1,007.99 : 1,391.06 = 588.61 : x
2. Step 2: Convert to fraction form
   1,007.99/1,391.06 = 588.61/x
3. Step 3: Cross multiply
   1,007.99x = 1,391.06 × 588.61
4. Step 4: Simplify right side
   1,007.99x = 818,781.93
5. Step 5: Solve for x
   x = 818,781.93/1,007.99
6. Step 6: Final answer
   x = 812.30