Finding the Fourth Proportional to 10,746.47, 14,829.89 and 5,966.12

Step by Step Solution

1. Step 1: Write the proportion equation
   10,746.47 : 14,829.89 = 5,966.12 : x
2. Step 2: Convert to fraction form
   10,746.47/14,829.89 = 5,966.12/x
3. Step 3: Cross multiply
   10,746.47x = 14,829.89 × 5,966.12
4. Step 4: Simplify right side
   10,746.47x = 88,476,799.35
5. Step 5: Solve for x
   x = 88,476,799.35/10,746.47
6. Step 6: Final answer
   x = 8,233.11