Finding the Fourth Proportional to 1,686.28, 2,327.50 and 1,520.20

Step by Step Solution

1. Step 1: Write the proportion equation
   1,686.28 : 2,327.50 = 1,520.20 : x
2. Step 2: Convert to fraction form
   1,686.28/2,327.50 = 1,520.20/x
3. Step 3: Cross multiply
   1,686.28x = 2,327.50 × 1,520.20
4. Step 4: Simplify right side
   1,686.28x = 3,538,265.50
5. Step 5: Solve for x
   x = 3,538,265.50/1,686.28
6. Step 6: Final answer
   x = 2,098.27