Finding the Fourth Proportional to 10,059.50, 13,882.83 and 5,584.10

Step by Step Solution

1. Step 1: Write the proportion equation
   10,059.50 : 13,882.83 = 5,584.10 : x
2. Step 2: Convert to fraction form
   10,059.50/13,882.83 = 5,584.10/x
3. Step 3: Cross multiply
   10,059.50x = 13,882.83 × 5,584.10
4. Step 4: Simplify right side
   10,059.50x = 77,523,041.59
5. Step 5: Solve for x
   x = 77,523,041.59/10,059.50
6. Step 6: Final answer
   x = 7,706.45