Finding the Fourth Proportional to 9,829.59, 13,564.51 and 5,742.15

Step by Step Solution

1. Step 1: Write the proportion equation
   9,829.59 : 13,564.51 = 5,742.15 : x
2. Step 2: Convert to fraction form
   9,829.59/13,564.51 = 5,742.15/x
3. Step 3: Cross multiply
   9,829.59x = 13,564.51 × 5,742.15
4. Step 4: Simplify right side
   9,829.59x = 77,889,451.10
5. Step 5: Solve for x
   x = 77,889,451.10/9,829.59
6. Step 6: Final answer
   x = 7,923.98