Finding the Fourth Proportional to 1,689.27, 2,330.77 and 1,026.15

Step by Step Solution

1. Step 1: Write the proportion equation
   1,689.27 : 2,330.77 = 1,026.15 : x
2. Step 2: Convert to fraction form
   1,689.27/2,330.77 = 1,026.15/x
3. Step 3: Cross multiply
   1,689.27x = 2,330.77 × 1,026.15
4. Step 4: Simplify right side
   1,689.27x = 2,391,719.64
5. Step 5: Solve for x
   x = 2,391,719.64/1,689.27
6. Step 6: Final answer
   x = 1,415.83