Finding the Fourth Proportional to 1,540.04, 2,309.81 and 759.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,540.04 : 2,309.81 = 759.83 : x
2. Step 2: Convert to fraction form
   1,540.04/2,309.81 = 759.83/x
3. Step 3: Cross multiply
   1,540.04x = 2,309.81 × 759.83
4. Step 4: Simplify right side
   1,540.04x = 1,755,047.58
5. Step 5: Solve for x
   x = 1,755,047.58/1,540.04
6. Step 6: Final answer
   x = 1,139.62