Finding the Fourth Proportional to 10,492.84, 14,480.22 and 5,777.29

Step by Step Solution

1. Step 1: Write the proportion equation
   10,492.84 : 14,480.22 = 5,777.29 : x
2. Step 2: Convert to fraction form
   10,492.84/14,480.22 = 5,777.29/x
3. Step 3: Cross multiply
   10,492.84x = 14,480.22 × 5,777.29
4. Step 4: Simplify right side
   10,492.84x = 83,656,437.47
5. Step 5: Solve for x
   x = 83,656,437.47/10,492.84
6. Step 6: Final answer
   x = 7,972.72