Finding the Fourth Proportional to 10,059.88, 13,882.38 and 5,583.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,059.88 : 13,882.38 = 5,583.50 : x
2. Step 2: Convert to fraction form
   10,059.88/13,882.38 = 5,583.50/x
3. Step 3: Cross multiply
   10,059.88x = 13,882.38 × 5,583.50
4. Step 4: Simplify right side
   10,059.88x = 77,512,240.81
5. Step 5: Solve for x
   x = 77,512,240.81/10,059.88
6. Step 6: Final answer
   x = 7,705.09