Finding the Fourth Proportional to 1,527.83, 2,108.39 and 864.71

Step by Step Solution

1. Step 1: Write the proportion equation
   1,527.83 : 2,108.39 = 864.71 : x
2. Step 2: Convert to fraction form
   1,527.83/2,108.39 = 864.71/x
3. Step 3: Cross multiply
   1,527.83x = 2,108.39 × 864.71
4. Step 4: Simplify right side
   1,527.83x = 1,823,145.92
5. Step 5: Solve for x
   x = 1,823,145.92/1,527.83
6. Step 6: Final answer
   x = 1,193.29