Finding the Fourth Proportional to 10,052.85, 13,874.59 and 5,578.04

Step by Step Solution

1. Step 1: Write the proportion equation
   10,052.85 : 13,874.59 = 5,578.04 : x
2. Step 2: Convert to fraction form
   10,052.85/13,874.59 = 5,578.04/x
3. Step 3: Cross multiply
   10,052.85x = 13,874.59 × 5,578.04
4. Step 4: Simplify right side
   10,052.85x = 77,393,018.00
5. Step 5: Solve for x
   x = 77,393,018.00/10,052.85
6. Step 6: Final answer
   x = 7,698.61