Finding the Fourth Proportional to 5,665.43, 7,826.20 and 5,388.66

Step by Step Solution

1. Step 1: Write the proportion equation
   5,665.43 : 7,826.20 = 5,388.66 : x
2. Step 2: Convert to fraction form
   5,665.43/7,826.20 = 5,388.66/x
3. Step 3: Cross multiply
   5,665.43x = 7,826.20 × 5,388.66
4. Step 4: Simplify right side
   5,665.43x = 42,172,717.42
5. Step 5: Solve for x
   x = 42,172,717.42/5,665.43
6. Step 6: Final answer
   x = 7,443.87