Finding the Fourth Proportional to 10,492.23, 14,479.29 and 5,776.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,492.23 : 14,479.29 = 5,776.50 : x
2. Step 2: Convert to fraction form
   10,492.23/14,479.29 = 5,776.50/x
3. Step 3: Cross multiply
   10,492.23x = 14,479.29 × 5,776.50
4. Step 4: Simplify right side
   10,492.23x = 83,639,618.69
5. Step 5: Solve for x
   x = 83,639,618.69/10,492.23
6. Step 6: Final answer
   x = 7,971.58