Finding the Fourth Proportional to 10,018.56, 13,830.05 and 5,986.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,018.56 : 13,830.05 = 5,986.82 : x
2. Step 2: Convert to fraction form
   10,018.56/13,830.05 = 5,986.82/x
3. Step 3: Cross multiply
   10,018.56x = 13,830.05 × 5,986.82
4. Step 4: Simplify right side
   10,018.56x = 82,798,069.48
5. Step 5: Solve for x
   x = 82,798,069.48/10,018.56
6. Step 6: Final answer
   x = 8,264.47