Finding the Fourth Proportional to 9,894.29, 13,653.71 and 5,417.96

Step by Step Solution

1. Step 1: Write the proportion equation
   9,894.29 : 13,653.71 = 5,417.96 : x
2. Step 2: Convert to fraction form
   9,894.29/13,653.71 = 5,417.96/x
3. Step 3: Cross multiply
   9,894.29x = 13,653.71 × 5,417.96
4. Step 4: Simplify right side
   9,894.29x = 73,975,254.63
5. Step 5: Solve for x
   x = 73,975,254.63/9,894.29
6. Step 6: Final answer
   x = 7,476.56