Finding the Fourth Proportional to 9,896.50, 13,657.94 and 5,646.58

Step by Step Solution

1. Step 1: Write the proportion equation
   9,896.50 : 13,657.94 = 5,646.58 : x
2. Step 2: Convert to fraction form
   9,896.50/13,657.94 = 5,646.58/x
3. Step 3: Cross multiply
   9,896.50x = 13,657.94 × 5,646.58
4. Step 4: Simplify right side
   9,896.50x = 77,120,630.82
5. Step 5: Solve for x
   x = 77,120,630.82/9,896.50
6. Step 6: Final answer
   x = 7,792.72