Finding the Fourth Proportional to 10,292.85, 14,204.17 and 5,577.12

Step by Step Solution

1. Step 1: Write the proportion equation
   10,292.85 : 14,204.17 = 5,577.12 : x
2. Step 2: Convert to fraction form
   10,292.85/14,204.17 = 5,577.12/x
3. Step 3: Cross multiply
   10,292.85x = 14,204.17 × 5,577.12
4. Step 4: Simplify right side
   10,292.85x = 79,218,360.59
5. Step 5: Solve for x
   x = 79,218,360.59/10,292.85
6. Step 6: Final answer
   x = 7,696.45