Finding the Fourth Proportional to 1,585.83, 2,380.14 and 765.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,585.83 : 2,380.14 = 765.72 : x
2. Step 2: Convert to fraction form
   1,585.83/2,380.14 = 765.72/x
3. Step 3: Cross multiply
   1,585.83x = 2,380.14 × 765.72
4. Step 4: Simplify right side
   1,585.83x = 1,822,520.80
5. Step 5: Solve for x
   x = 1,822,520.80/1,585.83
6. Step 6: Final answer
   x = 1,149.25