Finding the Fourth Proportional to 10,492.20, 14,479.32 and 5,776.56

Step by Step Solution

1. Step 1: Write the proportion equation
   10,492.20 : 14,479.32 = 5,776.56 : x
2. Step 2: Convert to fraction form
   10,492.20/14,479.32 = 5,776.56/x
3. Step 3: Cross multiply
   10,492.20x = 14,479.32 × 5,776.56
4. Step 4: Simplify right side
   10,492.20x = 83,640,660.74
5. Step 5: Solve for x
   x = 83,640,660.74/10,492.20
6. Step 6: Final answer
   x = 7,971.70