Finding the Fourth Proportional to 10,465.57, 14,442.21 and 5,749.86

Step by Step Solution

1. Step 1: Write the proportion equation
   10,465.57 : 14,442.21 = 5,749.86 : x
2. Step 2: Convert to fraction form
   10,465.57/14,442.21 = 5,749.86/x
3. Step 3: Cross multiply
   10,465.57x = 14,442.21 × 5,749.86
4. Step 4: Simplify right side
   10,465.57x = 83,040,685.59
5. Step 5: Solve for x
   x = 83,040,685.59/10,465.57
6. Step 6: Final answer
   x = 7,934.65