Finding the Fourth Proportional to 2,026.50, 3,016.26 and 1,981.14

Step by Step Solution

1. Step 1: Write the proportion equation
   2,026.50 : 3,016.26 = 1,981.14 : x
2. Step 2: Convert to fraction form
   2,026.50/3,016.26 = 1,981.14/x
3. Step 3: Cross multiply
   2,026.50x = 3,016.26 × 1,981.14
4. Step 4: Simplify right side
   2,026.50x = 5,975,633.34
5. Step 5: Solve for x
   x = 5,975,633.34/2,026.50
6. Step 6: Final answer
   x = 2,948.75