Finding the Fourth Proportional to 2,024.64, 3,032.30 and 1,689.61

Step by Step Solution

1. Step 1: Write the proportion equation
   2,024.64 : 3,032.30 = 1,689.61 : x
2. Step 2: Convert to fraction form
   2,024.64/3,032.30 = 1,689.61/x
3. Step 3: Cross multiply
   2,024.64x = 3,032.30 × 1,689.61
4. Step 4: Simplify right side
   2,024.64x = 5,123,401.05
5. Step 5: Solve for x
   x = 5,123,401.05/2,024.64
6. Step 6: Final answer
   x = 2,530.52