Finding the Fourth Proportional to 1,251.72, 1,876.50 and 765.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,251.72 : 1,876.50 = 765.10 : x
2. Step 2: Convert to fraction form
   1,251.72/1,876.50 = 765.10/x
3. Step 3: Cross multiply
   1,251.72x = 1,876.50 × 765.10
4. Step 4: Simplify right side
   1,251.72x = 1,435,710.15
5. Step 5: Solve for x
   x = 1,435,710.15/1,251.72
6. Step 6: Final answer
   x = 1,146.99