Finding the Fourth Proportional to 1,689.86, 2,535.77 and 765.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,689.86 : 2,535.77 = 765.86 : x
2. Step 2: Convert to fraction form
   1,689.86/2,535.77 = 765.86/x
3. Step 3: Cross multiply
   1,689.86x = 2,535.77 × 765.86
4. Step 4: Simplify right side
   1,689.86x = 1,942,034.05
5. Step 5: Solve for x
   x = 1,942,034.05/1,689.86
6. Step 6: Final answer
   x = 1,149.23