Finding the Fourth Proportional to 1,002.00, 1,383.85 and 688.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.00 : 1,383.85 = 688.10 : x
2. Step 2: Convert to fraction form
   1,002.00/1,383.85 = 688.10/x
3. Step 3: Cross multiply
   1,002.00x = 1,383.85 × 688.10
4. Step 4: Simplify right side
   1,002.00x = 952,221.13
5. Step 5: Solve for x
   x = 952,221.13/1,002.00
6. Step 6: Final answer
   x = 950.32