Finding the Fourth Proportional to 9,895.48, 13,655.83 and 5,419.64

Step by Step Solution

1. Step 1: Write the proportion equation
   9,895.48 : 13,655.83 = 5,419.64 : x
2. Step 2: Convert to fraction form
   9,895.48/13,655.83 = 5,419.64/x
3. Step 3: Cross multiply
   9,895.48x = 13,655.83 × 5,419.64
4. Step 4: Simplify right side
   9,895.48x = 74,009,682.50
5. Step 5: Solve for x
   x = 74,009,682.50/9,895.48
6. Step 6: Final answer
   x = 7,479.14