Finding the Fourth Proportional to 9,899.59, 13,661.52 and 5,707.84

Step by Step Solution

1. Step 1: Write the proportion equation
   9,899.59 : 13,661.52 = 5,707.84 : x
2. Step 2: Convert to fraction form
   9,899.59/13,661.52 = 5,707.84/x
3. Step 3: Cross multiply
   9,899.59x = 13,661.52 × 5,707.84
4. Step 4: Simplify right side
   9,899.59x = 77,977,770.32
5. Step 5: Solve for x
   x = 77,977,770.32/9,899.59
6. Step 6: Final answer
   x = 7,876.87