Finding the Fourth Proportional to 9,833.12, 13,570.48 and 5,585.52

Step by Step Solution

1. Step 1: Write the proportion equation
   9,833.12 : 13,570.48 = 5,585.52 : x
2. Step 2: Convert to fraction form
   9,833.12/13,570.48 = 5,585.52/x
3. Step 3: Cross multiply
   9,833.12x = 13,570.48 × 5,585.52
4. Step 4: Simplify right side
   9,833.12x = 75,798,187.45
5. Step 5: Solve for x
   x = 75,798,187.45/9,833.12
6. Step 6: Final answer
   x = 7,708.46