Finding the Fourth Proportional to 1,526.44, 2,106.50 and 827.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,526.44 : 2,106.50 = 827.82 : x
2. Step 2: Convert to fraction form
   1,526.44/2,106.50 = 827.82/x
3. Step 3: Cross multiply
   1,526.44x = 2,106.50 × 827.82
4. Step 4: Simplify right side
   1,526.44x = 1,743,802.83
5. Step 5: Solve for x
   x = 1,743,802.83/1,526.44
6. Step 6: Final answer
   x = 1,142.40