Finding the Fourth Proportional to 1,466.69, 2,199.98 and 686.41

Step by Step Solution

1. Step 1: Write the proportion equation
   1,466.69 : 2,199.98 = 686.41 : x
2. Step 2: Convert to fraction form
   1,466.69/2,199.98 = 686.41/x
3. Step 3: Cross multiply
   1,466.69x = 2,199.98 × 686.41
4. Step 4: Simplify right side
   1,466.69x = 1,510,084.49
5. Step 5: Solve for x
   x = 1,510,084.49/1,466.69
6. Step 6: Final answer
   x = 1,029.58