Finding the Fourth Proportional to 9,833.42, 13,570.44 and 5,584.32

Step by Step Solution

1. Step 1: Write the proportion equation
   9,833.42 : 13,570.44 = 5,584.32 : x
2. Step 2: Convert to fraction form
   9,833.42/13,570.44 = 5,584.32/x
3. Step 3: Cross multiply
   9,833.42x = 13,570.44 × 5,584.32
4. Step 4: Simplify right side
   9,833.42x = 75,781,679.50
5. Step 5: Solve for x
   x = 75,781,679.50/9,833.42
6. Step 6: Final answer
   x = 7,706.55