Finding the Fourth Proportional to 5,896.35, 8,149.95 and 5,182.83

Step by Step Solution

1. Step 1: Write the proportion equation
   5,896.35 : 8,149.95 = 5,182.83 : x
2. Step 2: Convert to fraction form
   5,896.35/8,149.95 = 5,182.83/x
3. Step 3: Cross multiply
   5,896.35x = 8,149.95 × 5,182.83
4. Step 4: Simplify right side
   5,896.35x = 42,239,805.36
5. Step 5: Solve for x
   x = 42,239,805.36/5,896.35
6. Step 6: Final answer
   x = 7,163.72