Finding the Fourth Proportional to 1,002.77, 1,385.57 and 827.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.77 : 1,385.57 = 827.81 : x
2. Step 2: Convert to fraction form
   1,002.77/1,385.57 = 827.81/x
3. Step 3: Cross multiply
   1,002.77x = 1,385.57 × 827.81
4. Step 4: Simplify right side
   1,002.77x = 1,146,988.70
5. Step 5: Solve for x
   x = 1,146,988.70/1,002.77
6. Step 6: Final answer
   x = 1,143.82