Finding the Fourth Proportional to 10,059.68, 13,884.00 and 5,584.87

Step by Step Solution

1. Step 1: Write the proportion equation
   10,059.68 : 13,884.00 = 5,584.87 : x
2. Step 2: Convert to fraction form
   10,059.68/13,884.00 = 5,584.87/x
3. Step 3: Cross multiply
   10,059.68x = 13,884.00 × 5,584.87
4. Step 4: Simplify right side
   10,059.68x = 77,540,307.16
5. Step 5: Solve for x
   x = 77,540,307.16/10,059.68
6. Step 6: Final answer
   x = 7,708.03