Finding the Fourth Proportional to 1,433.18, 1,977.89 and 827.70

Step by Step Solution

1. Step 1: Write the proportion equation
   1,433.18 : 1,977.89 = 827.70 : x
2. Step 2: Convert to fraction form
   1,433.18/1,977.89 = 827.70/x
3. Step 3: Cross multiply
   1,433.18x = 1,977.89 × 827.70
4. Step 4: Simplify right side
   1,433.18x = 1,637,099.55
5. Step 5: Solve for x
   x = 1,637,099.55/1,433.18
6. Step 6: Final answer
   x = 1,142.28