Finding the Fourth Proportional to 9,466.18, 13,059.22 and 5,635.67

Step by Step Solution

1. Step 1: Write the proportion equation
   9,466.18 : 13,059.22 = 5,635.67 : x
2. Step 2: Convert to fraction form
   9,466.18/13,059.22 = 5,635.67/x
3. Step 3: Cross multiply
   9,466.18x = 13,059.22 × 5,635.67
4. Step 4: Simplify right side
   9,466.18x = 73,597,478.38
5. Step 5: Solve for x
   x = 73,597,478.38/9,466.18
6. Step 6: Final answer
   x = 7,774.78