Finding the Fourth Proportional to 10,462.32, 14,438.12 and 5,746.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,462.32 : 14,438.12 = 5,746.50 : x
2. Step 2: Convert to fraction form
   10,462.32/14,438.12 = 5,746.50/x
3. Step 3: Cross multiply
   10,462.32x = 14,438.12 × 5,746.50
4. Step 4: Simplify right side
   10,462.32x = 82,968,627.85
5. Step 5: Solve for x
   x = 82,968,627.85/10,462.32
6. Step 6: Final answer
   x = 7,930.23