Finding the Fourth Proportional to 1,691.52, 2,536.89 and 766.46

Step by Step Solution

1. Step 1: Write the proportion equation
   1,691.52 : 2,536.89 = 766.46 : x
2. Step 2: Convert to fraction form
   1,691.52/2,536.89 = 766.46/x
3. Step 3: Cross multiply
   1,691.52x = 2,536.89 × 766.46
4. Step 4: Simplify right side
   1,691.52x = 1,944,412.02
5. Step 5: Solve for x
   x = 1,944,412.02/1,691.52
6. Step 6: Final answer
   x = 1,149.51