Finding the Fourth Proportional to 9,565.88, 13,202.15 and 5,374.13

Step by Step Solution

1. Step 1: Write the proportion equation
   9,565.88 : 13,202.15 = 5,374.13 : x
2. Step 2: Convert to fraction form
   9,565.88/13,202.15 = 5,374.13/x
3. Step 3: Cross multiply
   9,565.88x = 13,202.15 × 5,374.13
4. Step 4: Simplify right side
   9,565.88x = 70,949,977.50
5. Step 5: Solve for x
   x = 70,949,977.50/9,565.88
6. Step 6: Final answer
   x = 7,416.99