Finding the Fourth Proportional to 9,892.89, 13,653.72 and 5,643.96

Step by Step Solution

1. Step 1: Write the proportion equation
   9,892.89 : 13,653.72 = 5,643.96 : x
2. Step 2: Convert to fraction form
   9,892.89/13,653.72 = 5,643.96/x
3. Step 3: Cross multiply
   9,892.89x = 13,653.72 × 5,643.96
4. Step 4: Simplify right side
   9,892.89x = 77,061,049.53
5. Step 5: Solve for x
   x = 77,061,049.53/9,892.89
6. Step 6: Final answer
   x = 7,789.54