Finding the Fourth Proportional to 9,894.01, 13,653.90 and 5,417.69

Step by Step Solution

1. Step 1: Write the proportion equation
   9,894.01 : 13,653.90 = 5,417.69 : x
2. Step 2: Convert to fraction form
   9,894.01/13,653.90 = 5,417.69/x
3. Step 3: Cross multiply
   9,894.01x = 13,653.90 × 5,417.69
4. Step 4: Simplify right side
   9,894.01x = 73,972,597.49
5. Step 5: Solve for x
   x = 73,972,597.49/9,894.01
6. Step 6: Final answer
   x = 7,476.50