Finding the Fourth Proportional to 9,566.42, 13,202.88 and 5,374.67

Step by Step Solution

1. Step 1: Write the proportion equation
   9,566.42 : 13,202.88 = 5,374.67 : x
2. Step 2: Convert to fraction form
   9,566.42/13,202.88 = 5,374.67/x
3. Step 3: Cross multiply
   9,566.42x = 13,202.88 × 5,374.67
4. Step 4: Simplify right side
   9,566.42x = 70,961,123.05
5. Step 5: Solve for x
   x = 70,961,123.05/9,566.42
6. Step 6: Final answer
   x = 7,417.73