Finding the Fourth Proportional to 1,007.96, 1,391.01 and 588.24

Step by Step Solution

1. Step 1: Write the proportion equation
   1,007.96 : 1,391.01 = 588.24 : x
2. Step 2: Convert to fraction form
   1,007.96/1,391.01 = 588.24/x
3. Step 3: Cross multiply
   1,007.96x = 1,391.01 × 588.24
4. Step 4: Simplify right side
   1,007.96x = 818,247.72
5. Step 5: Solve for x
   x = 818,247.72/1,007.96
6. Step 6: Final answer
   x = 811.79