Finding the Fourth Proportional to 1,982.74, 2,975.86 and 1,009.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,982.74 : 2,975.86 = 1,009.38 : x
2. Step 2: Convert to fraction form
   1,982.74/2,975.86 = 1,009.38/x
3. Step 3: Cross multiply
   1,982.74x = 2,975.86 × 1,009.38
4. Step 4: Simplify right side
   1,982.74x = 3,003,773.57
5. Step 5: Solve for x
   x = 3,003,773.57/1,982.74
6. Step 6: Final answer
   x = 1,514.96