Finding the Fourth Proportional to 10,746.38, 14,830.14 and 5,966.42

Step by Step Solution

1. Step 1: Write the proportion equation
   10,746.38 : 14,830.14 = 5,966.42 : x
2. Step 2: Convert to fraction form
   10,746.38/14,830.14 = 5,966.42/x
3. Step 3: Cross multiply
   10,746.38x = 14,830.14 × 5,966.42
4. Step 4: Simplify right side
   10,746.38x = 88,482,843.90
5. Step 5: Solve for x
   x = 88,482,843.90/10,746.38
6. Step 6: Final answer
   x = 8,233.73