Finding the Fourth Proportional to 9,569.78, 13,205.17 and 5,377.78

Step by Step Solution

1. Step 1: Write the proportion equation
   9,569.78 : 13,205.17 = 5,377.78 : x
2. Step 2: Convert to fraction form
   9,569.78/13,205.17 = 5,377.78/x
3. Step 3: Cross multiply
   9,569.78x = 13,205.17 × 5,377.78
4. Step 4: Simplify right side
   9,569.78x = 71,014,499.12
5. Step 5: Solve for x
   x = 71,014,499.12/9,569.78
6. Step 6: Final answer
   x = 7,420.70