Finding the Fourth Proportional to 1,526.31, 2,106.32 and 827.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,526.31 : 2,106.32 = 827.69 : x
2. Step 2: Convert to fraction form
   1,526.31/2,106.32 = 827.69/x
3. Step 3: Cross multiply
   1,526.31x = 2,106.32 × 827.69
4. Step 4: Simplify right side
   1,526.31x = 1,743,380.00
5. Step 5: Solve for x
   x = 1,743,380.00/1,526.31
6. Step 6: Final answer
   x = 1,142.22