Finding the Fourth Proportional to 9,569.17, 13,206.68 and 5,377.42

Step by Step Solution

1. Step 1: Write the proportion equation
   9,569.17 : 13,206.68 = 5,377.42 : x
2. Step 2: Convert to fraction form
   9,569.17/13,206.68 = 5,377.42/x
3. Step 3: Cross multiply
   9,569.17x = 13,206.68 × 5,377.42
4. Step 4: Simplify right side
   9,569.17x = 71,017,865.17
5. Step 5: Solve for x
   x = 71,017,865.17/9,569.17
6. Step 6: Final answer
   x = 7,421.53