Finding the Fourth Proportional to 10,086.75, 13,919.77 and 5,837.81

Step by Step Solution

1. Step 1: Write the proportion equation
   10,086.75 : 13,919.77 = 5,837.81 : x
2. Step 2: Convert to fraction form
   10,086.75/13,919.77 = 5,837.81/x
3. Step 3: Cross multiply
   10,086.75x = 13,919.77 × 5,837.81
4. Step 4: Simplify right side
   10,086.75x = 81,260,972.50
5. Step 5: Solve for x
   x = 81,260,972.50/10,086.75
6. Step 6: Final answer
   x = 8,056.21