Finding the Fourth Proportional to 1,861.92, 2,793.42 and 765.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,861.92 : 2,793.42 = 765.72 : x
2. Step 2: Convert to fraction form
   1,861.92/2,793.42 = 765.72/x
3. Step 3: Cross multiply
   1,861.92x = 2,793.42 × 765.72
4. Step 4: Simplify right side
   1,861.92x = 2,138,977.56
5. Step 5: Solve for x
   x = 2,138,977.56/1,861.92
6. Step 6: Final answer
   x = 1,148.80