Finding the Fourth Proportional to 10,059.98, 13,882.67 and 5,583.77

Step by Step Solution

1. Step 1: Write the proportion equation
   10,059.98 : 13,882.67 = 5,583.77 : x
2. Step 2: Convert to fraction form
   10,059.98/13,882.67 = 5,583.77/x
3. Step 3: Cross multiply
   10,059.98x = 13,882.67 × 5,583.77
4. Step 4: Simplify right side
   10,059.98x = 77,517,643.05
5. Step 5: Solve for x
   x = 77,517,643.05/10,059.98
6. Step 6: Final answer
   x = 7,705.54