Finding the Fourth Proportional to 10,052.56, 13,872.52 and 5,577

Step by Step Solution

1. Step 1: Write the proportion equation
   10,052.56 : 13,872.52 = 5,577 : x
2. Step 2: Convert to fraction form
   10,052.56/13,872.52 = 5,577/x
3. Step 3: Cross multiply
   10,052.56x = 13,872.52 × 5,577
4. Step 4: Simplify right side
   10,052.56x = 77,367,044.04
5. Step 5: Solve for x
   x = 77,367,044.04/10,052.56
6. Step 6: Final answer
   x = 7,696.25