Finding the Fourth Proportional to 1,520.78, 2,280.15 and 546.89

Step by Step Solution

1. Step 1: Write the proportion equation
   1,520.78 : 2,280.15 = 546.89 : x
2. Step 2: Convert to fraction form
   1,520.78/2,280.15 = 546.89/x
3. Step 3: Cross multiply
   1,520.78x = 2,280.15 × 546.89
4. Step 4: Simplify right side
   1,520.78x = 1,246,979.83
5. Step 5: Solve for x
   x = 1,246,979.83/1,520.78
6. Step 6: Final answer
   x = 819.96