Finding the Fourth Proportional to 10,492.82, 14,480.10 and 5,777.12

Step by Step Solution

1. Step 1: Write the proportion equation
   10,492.82 : 14,480.10 = 5,777.12 : x
2. Step 2: Convert to fraction form
   10,492.82/14,480.10 = 5,777.12/x
3. Step 3: Cross multiply
   10,492.82x = 14,480.10 × 5,777.12
4. Step 4: Simplify right side
   10,492.82x = 83,653,275.31
5. Step 5: Solve for x
   x = 83,653,275.31/10,492.82
6. Step 6: Final answer
   x = 7,972.43