Finding the Fourth Proportional to 10,746.77, 14,830.63 and 5,966.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,746.77 : 14,830.63 = 5,966.82 : x
2. Step 2: Convert to fraction form
   10,746.77/14,830.63 = 5,966.82/x
3. Step 3: Cross multiply
   10,746.77x = 14,830.63 × 5,966.82
4. Step 4: Simplify right side
   10,746.77x = 88,491,684.78
5. Step 5: Solve for x
   x = 88,491,684.78/10,746.77
6. Step 6: Final answer
   x = 8,234.26