Finding the Fourth Proportional to 10,648.62, 14,697.72 and 6,876

Step by Step Solution

1. Step 1: Write the proportion equation
   10,648.62 : 14,697.72 = 6,876 : x
2. Step 2: Convert to fraction form
   10,648.62/14,697.72 = 6,876/x
3. Step 3: Cross multiply
   10,648.62x = 14,697.72 × 6,876
4. Step 4: Simplify right side
   10,648.62x = 101,061,522.72
5. Step 5: Solve for x
   x = 101,061,522.72/10,648.62
6. Step 6: Final answer
   x = 9,490.57