Finding the Fourth Proportional to 10,462.16, 14,437.45 and 5,746.14

Step by Step Solution

1. Step 1: Write the proportion equation
   10,462.16 : 14,437.45 = 5,746.14 : x
2. Step 2: Convert to fraction form
   10,462.16/14,437.45 = 5,746.14/x
3. Step 3: Cross multiply
   10,462.16x = 14,437.45 × 5,746.14
4. Step 4: Simplify right side
   10,462.16x = 82,959,608.94
5. Step 5: Solve for x
   x = 82,959,608.94/10,462.16
6. Step 6: Final answer
   x = 7,929.49