Finding the Fourth Proportional to 10,086.12, 13,919.04 and 5,896.80

Step by Step Solution

1. Step 1: Write the proportion equation
   10,086.12 : 13,919.04 = 5,896.80 : x
2. Step 2: Convert to fraction form
   10,086.12/13,919.04 = 5,896.80/x
3. Step 3: Cross multiply
   10,086.12x = 13,919.04 × 5,896.80
4. Step 4: Simplify right side
   10,086.12x = 82,077,795.07
5. Step 5: Solve for x
   x = 82,077,795.07/10,086.12
6. Step 6: Final answer
   x = 8,137.70