Finding the Fourth Proportional to 9,575.42, 13,214.00 and 5,383.67

Step by Step Solution

1. Step 1: Write the proportion equation
   9,575.42 : 13,214.00 = 5,383.67 : x
2. Step 2: Convert to fraction form
   9,575.42/13,214.00 = 5,383.67/x
3. Step 3: Cross multiply
   9,575.42x = 13,214.00 × 5,383.67
4. Step 4: Simplify right side
   9,575.42x = 71,139,762.77
5. Step 5: Solve for x
   x = 71,139,762.77/9,575.42
6. Step 6: Final answer
   x = 7,429.42