Finding the Fourth Proportional to 1,689.72, 2,331.12 and 1,026.24

Step by Step Solution

1. Step 1: Write the proportion equation
   1,689.72 : 2,331.12 = 1,026.24 : x
2. Step 2: Convert to fraction form
   1,689.72/2,331.12 = 1,026.24/x
3. Step 3: Cross multiply
   1,689.72x = 2,331.12 × 1,026.24
4. Step 4: Simplify right side
   1,689.72x = 2,392,288.59
5. Step 5: Solve for x
   x = 2,392,288.59/1,689.72
6. Step 6: Final answer
   x = 1,415.79