Finding the Fourth Proportional to 1,526.46, 2,106.52 and 827.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,526.46 : 2,106.52 = 827.83 : x
2. Step 2: Convert to fraction form
   1,526.46/2,106.52 = 827.83/x
3. Step 3: Cross multiply
   1,526.46x = 2,106.52 × 827.83
4. Step 4: Simplify right side
   1,526.46x = 1,743,836.31
5. Step 5: Solve for x
   x = 1,743,836.31/1,526.46
6. Step 6: Final answer
   x = 1,142.41