Finding the Fourth Proportional to 10,053.62, 13,874.24 and 5,577.56

Step by Step Solution

1. Step 1: Write the proportion equation
   10,053.62 : 13,874.24 = 5,577.56 : x
2. Step 2: Convert to fraction form
   10,053.62/13,874.24 = 5,577.56/x
3. Step 3: Cross multiply
   10,053.62x = 13,874.24 × 5,577.56
4. Step 4: Simplify right side
   10,053.62x = 77,384,371.28
5. Step 5: Solve for x
   x = 77,384,371.28/10,053.62
6. Step 6: Final answer
   x = 7,697.17