Finding the Fourth Proportional to 10,052.98, 13,873.20 and 5,577.10

Step by Step Solution

1. Step 1: Write the proportion equation
   10,052.98 : 13,873.20 = 5,577.10 : x
2. Step 2: Convert to fraction form
   10,052.98/13,873.20 = 5,577.10/x
3. Step 3: Cross multiply
   10,052.98x = 13,873.20 × 5,577.10
4. Step 4: Simplify right side
   10,052.98x = 77,372,223.72
5. Step 5: Solve for x
   x = 77,372,223.72/10,052.98
6. Step 6: Final answer
   x = 7,696.45