Finding the Fourth Proportional to 1,002.50, 1,383.57 and 588.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.50 : 1,383.57 = 588.50 : x
2. Step 2: Convert to fraction form
   1,002.50/1,383.57 = 588.50/x
3. Step 3: Cross multiply
   1,002.50x = 1,383.57 × 588.50
4. Step 4: Simplify right side
   1,002.50x = 814,230.95
5. Step 5: Solve for x
   x = 814,230.95/1,002.50
6. Step 6: Final answer
   x = 812.20