Finding the Fourth Proportional to 10,053.48, 13,874.56 and 5,577.20

Step by Step Solution

1. Step 1: Write the proportion equation
   10,053.48 : 13,874.56 = 5,577.20 : x
2. Step 2: Convert to fraction form
   10,053.48/13,874.56 = 5,577.20/x
3. Step 3: Cross multiply
   10,053.48x = 13,874.56 × 5,577.20
4. Step 4: Simplify right side
   10,053.48x = 77,381,196.03
5. Step 5: Solve for x
   x = 77,381,196.03/10,053.48
6. Step 6: Final answer
   x = 7,696.96