Finding the Fourth Proportional to 10,451.42, 14,422.92 and 5,735.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,451.42 : 14,422.92 = 5,735.78 : x
2. Step 2: Convert to fraction form
   10,451.42/14,422.92 = 5,735.78/x
3. Step 3: Cross multiply
   10,451.42x = 14,422.92 × 5,735.78
4. Step 4: Simplify right side
   10,451.42x = 82,726,696.08
5. Step 5: Solve for x
   x = 82,726,696.08/10,451.42
6. Step 6: Final answer
   x = 7,915.35