Finding the Fourth Proportional to 4,978.46, 7,467.76 and 2,056.78

Step by Step Solution

1. Step 1: Write the proportion equation
   4,978.46 : 7,467.76 = 2,056.78 : x
2. Step 2: Convert to fraction form
   4,978.46/7,467.76 = 2,056.78/x
3. Step 3: Cross multiply
   4,978.46x = 7,467.76 × 2,056.78
4. Step 4: Simplify right side
   4,978.46x = 15,359,539.41
5. Step 5: Solve for x
   x = 15,359,539.41/4,978.46
6. Step 6: Final answer
   x = 3,085.20