Finding the Fourth Proportional to 1,527.48, 2,107.89 and 828.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,527.48 : 2,107.89 = 828.86 : x
2. Step 2: Convert to fraction form
   1,527.48/2,107.89 = 828.86/x
3. Step 3: Cross multiply
   1,527.48x = 2,107.89 × 828.86
4. Step 4: Simplify right side
   1,527.48x = 1,747,135.17
5. Step 5: Solve for x
   x = 1,747,135.17/1,527.48
6. Step 6: Final answer
   x = 1,143.80