Finding the Fourth Proportional to 10,059.82, 13,882.68 and 5,583.70

Step by Step Solution

1. Step 1: Write the proportion equation
   10,059.82 : 13,882.68 = 5,583.70 : x
2. Step 2: Convert to fraction form
   10,059.82/13,882.68 = 5,583.70/x
3. Step 3: Cross multiply
   10,059.82x = 13,882.68 × 5,583.70
4. Step 4: Simplify right side
   10,059.82x = 77,516,720.32
5. Step 5: Solve for x
   x = 77,516,720.32/10,059.82
6. Step 6: Final answer
   x = 7,705.58