Finding the Fourth Proportional to 9,891.62, 13,648.88 and 5,699.06

Step by Step Solution

1. Step 1: Write the proportion equation
   9,891.62 : 13,648.88 = 5,699.06 : x
2. Step 2: Convert to fraction form
   9,891.62/13,648.88 = 5,699.06/x
3. Step 3: Cross multiply
   9,891.62x = 13,648.88 × 5,699.06
4. Step 4: Simplify right side
   9,891.62x = 77,785,786.05
5. Step 5: Solve for x
   x = 77,785,786.05/9,891.62
6. Step 6: Final answer
   x = 7,863.81