Finding the Fourth Proportional to 5,238.41, 7,856.46 and 1,540.89

Step by Step Solution

1. Step 1: Write the proportion equation
   5,238.41 : 7,856.46 = 1,540.89 : x
2. Step 2: Convert to fraction form
   5,238.41/7,856.46 = 1,540.89/x
3. Step 3: Cross multiply
   5,238.41x = 7,856.46 × 1,540.89
4. Step 4: Simplify right side
   5,238.41x = 12,105,940.65
5. Step 5: Solve for x
   x = 12,105,940.65/5,238.41
6. Step 6: Final answer
   x = 2,311.00