Finding the Fourth Proportional to 10,605.72, 14,646.78 and 7,948.92

Step by Step Solution

1. Step 1: Write the proportion equation
   10,605.72 : 14,646.78 = 7,948.92 : x
2. Step 2: Convert to fraction form
   10,605.72/14,646.78 = 7,948.92/x
3. Step 3: Cross multiply
   10,605.72x = 14,646.78 × 7,948.92
4. Step 4: Simplify right side
   10,605.72x = 116,426,082.48
5. Step 5: Solve for x
   x = 116,426,082.48/10,605.72
6. Step 6: Final answer
   x = 10,977.67