Finding the Fourth Proportional to 10,057.02, 13,878.42 and 5,865

Step by Step Solution

1. Step 1: Write the proportion equation
   10,057.02 : 13,878.42 = 5,865 : x
2. Step 2: Convert to fraction form
   10,057.02/13,878.42 = 5,865/x
3. Step 3: Cross multiply
   10,057.02x = 13,878.42 × 5,865
4. Step 4: Simplify right side
   10,057.02x = 81,396,933.30
5. Step 5: Solve for x
   x = 81,396,933.30/10,057.02
6. Step 6: Final answer
   x = 8,093.54