Finding the Fourth Proportional to 2,978.71, 4,106.72 and 2,563.52

Step by Step Solution

1. Step 1: Write the proportion equation
   2,978.71 : 4,106.72 = 2,563.52 : x
2. Step 2: Convert to fraction form
   2,978.71/4,106.72 = 2,563.52/x
3. Step 3: Cross multiply
   2,978.71x = 4,106.72 × 2,563.52
4. Step 4: Simplify right side
   2,978.71x = 10,527,658.85
5. Step 5: Solve for x
   x = 10,527,658.85/2,978.71
6. Step 6: Final answer
   x = 3,534.30