Finding the Fourth Proportional to 10,053.57, 13,874.04 and 5,577.45

Step by Step Solution

1. Step 1: Write the proportion equation
   10,053.57 : 13,874.04 = 5,577.45 : x
2. Step 2: Convert to fraction form
   10,053.57/13,874.04 = 5,577.45/x
3. Step 3: Cross multiply
   10,053.57x = 13,874.04 × 5,577.45
4. Step 4: Simplify right side
   10,053.57x = 77,381,764.40
5. Step 5: Solve for x
   x = 77,381,764.40/10,053.57
6. Step 6: Final answer
   x = 7,696.94