Finding the Fourth Proportional to 2,329.29, 3,494.54 and 686.00

Step by Step Solution

1. Step 1: Write the proportion equation
   2,329.29 : 3,494.54 = 686.00 : x
2. Step 2: Convert to fraction form
   2,329.29/3,494.54 = 686.00/x
3. Step 3: Cross multiply
   2,329.29x = 3,494.54 × 686.00
4. Step 4: Simplify right side
   2,329.29x = 2,397,264.89
5. Step 5: Solve for x
   x = 2,397,264.89/2,329.29
6. Step 6: Final answer
   x = 1,029.18