Finding the Fourth Proportional to 1,466.64, 2,200.37 and 686.61

Step by Step Solution

1. Step 1: Write the proportion equation
   1,466.64 : 2,200.37 = 686.61 : x
2. Step 2: Convert to fraction form
   1,466.64/2,200.37 = 686.61/x
3. Step 3: Cross multiply
   1,466.64x = 2,200.37 × 686.61
4. Step 4: Simplify right side
   1,466.64x = 1,510,792.61
5. Step 5: Solve for x
   x = 1,510,792.61/1,466.64
6. Step 6: Final answer
   x = 1,030.10