Finding the Fourth Proportional to 1,151.71, 1,726.66 and 785.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,151.71 : 1,726.66 = 785.59 : x
2. Step 2: Convert to fraction form
   1,151.71/1,726.66 = 785.59/x
3. Step 3: Cross multiply
   1,151.71x = 1,726.66 × 785.59
4. Step 4: Simplify right side
   1,151.71x = 1,356,446.83
5. Step 5: Solve for x
   x = 1,356,446.83/1,151.71
6. Step 6: Final answer
   x = 1,177.77