Finding the Fourth Proportional to 7,540.71, 10,406.45 and 5,648.95

Step by Step Solution

1. Step 1: Write the proportion equation
   7,540.71 : 10,406.45 = 5,648.95 : x
2. Step 2: Convert to fraction form
   7,540.71/10,406.45 = 5,648.95/x
3. Step 3: Cross multiply
   7,540.71x = 10,406.45 × 5,648.95
4. Step 4: Simplify right side
   7,540.71x = 58,785,515.73
5. Step 5: Solve for x
   x = 58,785,515.73/7,540.71
6. Step 6: Final answer
   x = 7,795.75