Finding the Fourth Proportional to 4,978.46, 7,458.13 and 2,780.53

Step by Step Solution

1. Step 1: Write the proportion equation
   4,978.46 : 7,458.13 = 2,780.53 : x
2. Step 2: Convert to fraction form
   4,978.46/7,458.13 = 2,780.53/x
3. Step 3: Cross multiply
   4,978.46x = 7,458.13 × 2,780.53
4. Step 4: Simplify right side
   4,978.46x = 20,737,523.40
5. Step 5: Solve for x
   x = 20,737,523.40/4,978.46
6. Step 6: Final answer
   x = 4,165.45