Finding the Fourth Proportional to 10,492.24, 14,479.46 and 5,776.64

Step by Step Solution

1. Step 1: Write the proportion equation
   10,492.24 : 14,479.46 = 5,776.64 : x
2. Step 2: Convert to fraction form
   10,492.24/14,479.46 = 5,776.64/x
3. Step 3: Cross multiply
   10,492.24x = 14,479.46 × 5,776.64
4. Step 4: Simplify right side
   10,492.24x = 83,642,627.81
5. Step 5: Solve for x
   x = 83,642,627.81/10,492.24
6. Step 6: Final answer
   x = 7,971.86