Finding the Fourth Proportional to 1,526.38, 2,106.42 and 827.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,526.38 : 2,106.42 = 827.76 : x
2. Step 2: Convert to fraction form
   1,526.38/2,106.42 = 827.76/x
3. Step 3: Cross multiply
   1,526.38x = 2,106.42 × 827.76
4. Step 4: Simplify right side
   1,526.38x = 1,743,610.22
5. Step 5: Solve for x
   x = 1,743,610.22/1,526.38
6. Step 6: Final answer
   x = 1,142.32