Finding the Fourth Proportional to 2,569.55, 3,547.50 and 1,686.90

Step by Step Solution

1. Step 1: Write the proportion equation
   2,569.55 : 3,547.50 = 1,686.90 : x
2. Step 2: Convert to fraction form
   2,569.55/3,547.50 = 1,686.90/x
3. Step 3: Cross multiply
   2,569.55x = 3,547.50 × 1,686.90
4. Step 4: Simplify right side
   2,569.55x = 5,984,260.01
5. Step 5: Solve for x
   x = 5,984,260.01/2,569.55
6. Step 6: Final answer
   x = 2,328.92