Finding the Fourth Proportional to 9,895.33, 13,655.70 and 5,419.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,895.33 : 13,655.70 = 5,419.50 : x
2. Step 2: Convert to fraction form
   9,895.33/13,655.70 = 5,419.50/x
3. Step 3: Cross multiply
   9,895.33x = 13,655.70 × 5,419.50
4. Step 4: Simplify right side
   9,895.33x = 74,007,066.15
5. Step 5: Solve for x
   x = 74,007,066.15/9,895.33
6. Step 6: Final answer
   x = 7,478.99