Finding the Fourth Proportional to 1,151.63, 1,726.72 and 766.43

Step by Step Solution

1. Step 1: Write the proportion equation
   1,151.63 : 1,726.72 = 766.43 : x
2. Step 2: Convert to fraction form
   1,151.63/1,726.72 = 766.43/x
3. Step 3: Cross multiply
   1,151.63x = 1,726.72 × 766.43
4. Step 4: Simplify right side
   1,151.63x = 1,323,410.01
5. Step 5: Solve for x
   x = 1,323,410.01/1,151.63
6. Step 6: Final answer
   x = 1,149.16