Finding the Fourth Proportional to 9,832.83, 13,569.63 and 5,584.07

Step by Step Solution

1. Step 1: Write the proportion equation
   9,832.83 : 13,569.63 = 5,584.07 : x
2. Step 2: Convert to fraction form
   9,832.83/13,569.63 = 5,584.07/x
3. Step 3: Cross multiply
   9,832.83x = 13,569.63 × 5,584.07
4. Step 4: Simplify right side
   9,832.83x = 75,773,776.78
5. Step 5: Solve for x
   x = 75,773,776.78/9,832.83
6. Step 6: Final answer
   x = 7,706.21