Finding the Fourth Proportional to 7,522.78, 10,375.14 and 5,638.80

Step by Step Solution

1. Step 1: Write the proportion equation
   7,522.78 : 10,375.14 = 5,638.80 : x
2. Step 2: Convert to fraction form
   7,522.78/10,375.14 = 5,638.80/x
3. Step 3: Cross multiply
   7,522.78x = 10,375.14 × 5,638.80
4. Step 4: Simplify right side
   7,522.78x = 58,503,339.43
5. Step 5: Solve for x
   x = 58,503,339.43/7,522.78
6. Step 6: Final answer
   x = 7,776.82