Finding the Fourth Proportional to 1,382.40, 2,072.52 and 765.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,382.40 : 2,072.52 = 765.72 : x
2. Step 2: Convert to fraction form
   1,382.40/2,072.52 = 765.72/x
3. Step 3: Cross multiply
   1,382.40x = 2,072.52 × 765.72
4. Step 4: Simplify right side
   1,382.40x = 1,586,970.01
5. Step 5: Solve for x
   x = 1,586,970.01/1,382.40
6. Step 6: Final answer
   x = 1,147.98