Finding the Fourth Proportional to 1,527.14, 2,107.40 and 864.15

Step by Step Solution

1. Step 1: Write the proportion equation
   1,527.14 : 2,107.40 = 864.15 : x
2. Step 2: Convert to fraction form
   1,527.14/2,107.40 = 864.15/x
3. Step 3: Cross multiply
   1,527.14x = 2,107.40 × 864.15
4. Step 4: Simplify right side
   1,527.14x = 1,821,105.39
5. Step 5: Solve for x
   x = 1,821,105.39/1,527.14
6. Step 6: Final answer
   x = 1,192.50