Finding the Fourth Proportional to 10,442.39, 14,410.69 and 5,726.66

Step by Step Solution

1. Step 1: Write the proportion equation
   10,442.39 : 14,410.69 = 5,726.66 : x
2. Step 2: Convert to fraction form
   10,442.39/14,410.69 = 5,726.66/x
3. Step 3: Cross multiply
   10,442.39x = 14,410.69 × 5,726.66
4. Step 4: Simplify right side
   10,442.39x = 82,525,035.63
5. Step 5: Solve for x
   x = 82,525,035.63/10,442.39
6. Step 6: Final answer
   x = 7,902.89