Finding the Fourth Proportional to 1,526.34, 2,106.35 and 827.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,526.34 : 2,106.35 = 827.72 : x
2. Step 2: Convert to fraction form
   1,526.34/2,106.35 = 827.72/x
3. Step 3: Cross multiply
   1,526.34x = 2,106.35 × 827.72
4. Step 4: Simplify right side
   1,526.34x = 1,743,469.01
5. Step 5: Solve for x
   x = 1,743,469.01/1,526.34
6. Step 6: Final answer
   x = 1,142.25