Finding the Fourth Proportional to 2,471.16, 3,410.86 and 1,527.10

Step by Step Solution

1. Step 1: Write the proportion equation
   2,471.16 : 3,410.86 = 1,527.10 : x
2. Step 2: Convert to fraction form
   2,471.16/3,410.86 = 1,527.10/x
3. Step 3: Cross multiply
   2,471.16x = 3,410.86 × 1,527.10
4. Step 4: Simplify right side
   2,471.16x = 5,208,724.31
5. Step 5: Solve for x
   x = 5,208,724.31/2,471.16
6. Step 6: Final answer
   x = 2,107.81