Finding the Fourth Proportional to 1,640.52, 2,264.22 and 1,065.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,640.52 : 2,264.22 = 1,065.78 : x
2. Step 2: Convert to fraction form
   1,640.52/2,264.22 = 1,065.78/x
3. Step 3: Cross multiply
   1,640.52x = 2,264.22 × 1,065.78
4. Step 4: Simplify right side
   1,640.52x = 2,413,160.39
5. Step 5: Solve for x
   x = 2,413,160.39/1,640.52
6. Step 6: Final answer
   x = 1,470.97