Finding the Fourth Proportional to 10,053.66, 13,873.71 and 5,577.30

Step by Step Solution

1. Step 1: Write the proportion equation
   10,053.66 : 13,873.71 = 5,577.30 : x
2. Step 2: Convert to fraction form
   10,053.66/13,873.71 = 5,577.30/x
3. Step 3: Cross multiply
   10,053.66x = 13,873.71 × 5,577.30
4. Step 4: Simplify right side
   10,053.66x = 77,377,842.78
5. Step 5: Solve for x
   x = 77,377,842.78/10,053.66
6. Step 6: Final answer
   x = 7,696.48