Finding the Fourth Proportional to 5,704.13, 7,875.41 and 5,105.59

Step by Step Solution

1. Step 1: Write the proportion equation
   5,704.13 : 7,875.41 = 5,105.59 : x
2. Step 2: Convert to fraction form
   5,704.13/7,875.41 = 5,105.59/x
3. Step 3: Cross multiply
   5,704.13x = 7,875.41 × 5,105.59
4. Step 4: Simplify right side
   5,704.13x = 40,208,569.33
5. Step 5: Solve for x
   x = 40,208,569.33/5,704.13
6. Step 6: Final answer
   x = 7,049.02