Finding the Fourth Proportional to 5,238.78, 7,857.02 and 1,541.27

Step by Step Solution

1. Step 1: Write the proportion equation
   5,238.78 : 7,857.02 = 1,541.27 : x
2. Step 2: Convert to fraction form
   5,238.78/7,857.02 = 1,541.27/x
3. Step 3: Cross multiply
   5,238.78x = 7,857.02 × 1,541.27
4. Step 4: Simplify right side
   5,238.78x = 12,109,742.22
5. Step 5: Solve for x
   x = 12,109,742.22/5,238.78
6. Step 6: Final answer
   x = 2,311.56