Finding the Fourth Proportional to 1,981.77, 2,735.09 and 1,142.29

Step by Step Solution

1. Step 1: Write the proportion equation
   1,981.77 : 2,735.09 = 1,142.29 : x
2. Step 2: Convert to fraction form
   1,981.77/2,735.09 = 1,142.29/x
3. Step 3: Cross multiply
   1,981.77x = 2,735.09 × 1,142.29
4. Step 4: Simplify right side
   1,981.77x = 3,124,265.96
5. Step 5: Solve for x
   x = 3,124,265.96/1,981.77
6. Step 6: Final answer
   x = 1,576.50