Finding the Fourth Proportional to 9,894.50, 13,653.77 and 5,418.30

Step by Step Solution

1. Step 1: Write the proportion equation
   9,894.50 : 13,653.77 = 5,418.30 : x
2. Step 2: Convert to fraction form
   9,894.50/13,653.77 = 5,418.30/x
3. Step 3: Cross multiply
   9,894.50x = 13,653.77 × 5,418.30
4. Step 4: Simplify right side
   9,894.50x = 73,980,194.90
5. Step 5: Solve for x
   x = 73,980,194.90/9,894.50
6. Step 6: Final answer
   x = 7,476.90