Finding the Fourth Proportional to 10,492.91, 14,480.27 and 5,777.19

Step by Step Solution

1. Step 1: Write the proportion equation
   10,492.91 : 14,480.27 = 5,777.19 : x
2. Step 2: Convert to fraction form
   10,492.91/14,480.27 = 5,777.19/x
3. Step 3: Cross multiply
   10,492.91x = 14,480.27 × 5,777.19
4. Step 4: Simplify right side
   10,492.91x = 83,655,285.48
5. Step 5: Solve for x
   x = 83,655,285.48/10,492.91
6. Step 6: Final answer
   x = 7,972.55