Finding the Fourth Proportional to 9,824.42, 13,558.05 and 5,575.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,824.42 : 13,558.05 = 5,575.50 : x
2. Step 2: Convert to fraction form
   9,824.42/13,558.05 = 5,575.50/x
3. Step 3: Cross multiply
   9,824.42x = 13,558.05 × 5,575.50
4. Step 4: Simplify right side
   9,824.42x = 75,592,907.78
5. Step 5: Solve for x
   x = 75,592,907.78/9,824.42
6. Step 6: Final answer
   x = 7,694.39