Finding the Fourth Proportional to 9,833.04, 13,568.42 and 5,584.07

Step by Step Solution

1. Step 1: Write the proportion equation
   9,833.04 : 13,568.42 = 5,584.07 : x
2. Step 2: Convert to fraction form
   9,833.04/13,568.42 = 5,584.07/x
3. Step 3: Cross multiply
   9,833.04x = 13,568.42 × 5,584.07
4. Step 4: Simplify right side
   9,833.04x = 75,767,054.95
5. Step 5: Solve for x
   x = 75,767,054.95/9,833.04
6. Step 6: Final answer
   x = 7,705.35