Finding the Fourth Proportional to 1,982.14, 2,735.69 and 1,142.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,982.14 : 2,735.69 = 1,142.69 : x
2. Step 2: Convert to fraction form
   1,982.14/2,735.69 = 1,142.69/x
3. Step 3: Cross multiply
   1,982.14x = 2,735.69 × 1,142.69
4. Step 4: Simplify right side
   1,982.14x = 3,126,045.61
5. Step 5: Solve for x
   x = 3,126,045.61/1,982.14
6. Step 6: Final answer
   x = 1,577.11