Finding the Fourth Proportional to 10,462.13, 14,437.83 and 5,746.52

Step by Step Solution

1. Step 1: Write the proportion equation
   10,462.13 : 14,437.83 = 5,746.52 : x
2. Step 2: Convert to fraction form
   10,462.13/14,437.83 = 5,746.52/x
3. Step 3: Cross multiply
   10,462.13x = 14,437.83 × 5,746.52
4. Step 4: Simplify right side
   10,462.13x = 82,967,278.85
5. Step 5: Solve for x
   x = 82,967,278.85/10,462.13
6. Step 6: Final answer
   x = 7,930.25