Finding the Fourth Proportional to 10,462.17, 14,438.13 and 5,746.56

Step by Step Solution

1. Step 1: Write the proportion equation
   10,462.17 : 14,438.13 = 5,746.56 : x
2. Step 2: Convert to fraction form
   10,462.17/14,438.13 = 5,746.56/x
3. Step 3: Cross multiply
   10,462.17x = 14,438.13 × 5,746.56
4. Step 4: Simplify right side
   10,462.17x = 82,969,580.33
5. Step 5: Solve for x
   x = 82,969,580.33/10,462.17
6. Step 6: Final answer
   x = 7,930.44