Finding the Fourth Proportional to 10,461.62, 14,437.24 and 5,746.08

Step by Step Solution

1. Step 1: Write the proportion equation
   10,461.62 : 14,437.24 = 5,746.08 : x
2. Step 2: Convert to fraction form
   10,461.62/14,437.24 = 5,746.08/x
3. Step 3: Cross multiply
   10,461.62x = 14,437.24 × 5,746.08
4. Step 4: Simplify right side
   10,461.62x = 82,957,536.02
5. Step 5: Solve for x
   x = 82,957,536.02/10,461.62
6. Step 6: Final answer
   x = 7,929.70