Finding the Fourth Proportional to 1,472.88, 2,205.75 and 780.15

Step by Step Solution

1. Step 1: Write the proportion equation
   1,472.88 : 2,205.75 = 780.15 : x
2. Step 2: Convert to fraction form
   1,472.88/2,205.75 = 780.15/x
3. Step 3: Cross multiply
   1,472.88x = 2,205.75 × 780.15
4. Step 4: Simplify right side
   1,472.88x = 1,720,815.86
5. Step 5: Solve for x
   x = 1,720,815.86/1,472.88
6. Step 6: Final answer
   x = 1,168.33