Finding the Fourth Proportional to 10,492.29, 14,479.16 and 5,776.65

Step by Step Solution

1. Step 1: Write the proportion equation
   10,492.29 : 14,479.16 = 5,776.65 : x
2. Step 2: Convert to fraction form
   10,492.29/14,479.16 = 5,776.65/x
3. Step 3: Cross multiply
   10,492.29x = 14,479.16 × 5,776.65
4. Step 4: Simplify right side
   10,492.29x = 83,641,010.73
5. Step 5: Solve for x
   x = 83,641,010.73/10,492.29
6. Step 6: Final answer
   x = 7,971.66