Finding the Fourth Proportional to 2,121.82, 3,184.78 and 1,026.96

Step by Step Solution

1. Step 1: Write the proportion equation
   2,121.82 : 3,184.78 = 1,026.96 : x
2. Step 2: Convert to fraction form
   2,121.82/3,184.78 = 1,026.96/x
3. Step 3: Cross multiply
   2,121.82x = 3,184.78 × 1,026.96
4. Step 4: Simplify right side
   2,121.82x = 3,270,641.67
5. Step 5: Solve for x
   x = 3,270,641.67/2,121.82
6. Step 6: Final answer
   x = 1,541.43