Finding the Fourth Proportional to 9,895.32, 13,655.70 and 5,419.26

Step by Step Solution

1. Step 1: Write the proportion equation
   9,895.32 : 13,655.70 = 5,419.26 : x
2. Step 2: Convert to fraction form
   9,895.32/13,655.70 = 5,419.26/x
3. Step 3: Cross multiply
   9,895.32x = 13,655.70 × 5,419.26
4. Step 4: Simplify right side
   9,895.32x = 74,003,788.78
5. Step 5: Solve for x
   x = 74,003,788.78/9,895.32
6. Step 6: Final answer
   x = 7,478.67