Finding the Fourth Proportional to 10,292.72, 14,204.00 and 5,577

Step by Step Solution

1. Step 1: Write the proportion equation
   10,292.72 : 14,204.00 = 5,577 : x
2. Step 2: Convert to fraction form
   10,292.72/14,204.00 = 5,577/x
3. Step 3: Cross multiply
   10,292.72x = 14,204.00 × 5,577
4. Step 4: Simplify right side
   10,292.72x = 79,215,721.94
5. Step 5: Solve for x
   x = 79,215,721.94/10,292.72
6. Step 6: Final answer
   x = 7,696.29