Finding the Fourth Proportional to 10,465.17, 14,442.27 and 5,749.56

Step by Step Solution

1. Step 1: Write the proportion equation
   10,465.17 : 14,442.27 = 5,749.56 : x
2. Step 2: Convert to fraction form
   10,465.17/14,442.27 = 5,749.56/x
3. Step 3: Cross multiply
   10,465.17x = 14,442.27 × 5,749.56
4. Step 4: Simplify right side
   10,465.17x = 83,036,697.90
5. Step 5: Solve for x
   x = 83,036,697.90/10,465.17
6. Step 6: Final answer
   x = 7,934.58