Finding the Fourth Proportional to 5,238.15, 7,856.01 and 2,314.86

Step by Step Solution

1. Step 1: Write the proportion equation
   5,238.15 : 7,856.01 = 2,314.86 : x
2. Step 2: Convert to fraction form
   5,238.15/7,856.01 = 2,314.86/x
3. Step 3: Cross multiply
   5,238.15x = 7,856.01 × 2,314.86
4. Step 4: Simplify right side
   5,238.15x = 18,185,563.31
5. Step 5: Solve for x
   x = 18,185,563.31/5,238.15
6. Step 6: Final answer
   x = 3,471.75