Finding the Fourth Proportional to 9,894.76, 13,656.06 and 5,644.84

Step by Step Solution

1. Step 1: Write the proportion equation
   9,894.76 : 13,656.06 = 5,644.84 : x
2. Step 2: Convert to fraction form
   9,894.76/13,656.06 = 5,644.84/x
3. Step 3: Cross multiply
   9,894.76x = 13,656.06 × 5,644.84
4. Step 4: Simplify right side
   9,894.76x = 77,086,265.20
5. Step 5: Solve for x
   x = 77,086,265.20/9,894.76
6. Step 6: Final answer
   x = 7,790.62