Finding the Fourth Proportional to 1,152.77, 1,727.60 and 827.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,152.77 : 1,727.60 = 827.42 : x
2. Step 2: Convert to fraction form
   1,152.77/1,727.60 = 827.42/x
3. Step 3: Cross multiply
   1,152.77x = 1,727.60 × 827.42
4. Step 4: Simplify right side
   1,152.77x = 1,429,438.02
5. Step 5: Solve for x
   x = 1,429,438.02/1,152.77
6. Step 6: Final answer
   x = 1,240.01