Finding the Fourth Proportional to 2,141.75, 3,212.56 and 970.90

Step by Step Solution

1. Step 1: Write the proportion equation
   2,141.75 : 3,212.56 = 970.90 : x
2. Step 2: Convert to fraction form
   2,141.75/3,212.56 = 970.90/x
3. Step 3: Cross multiply
   2,141.75x = 3,212.56 × 970.90
4. Step 4: Simplify right side
   2,141.75x = 3,119,053.59
5. Step 5: Solve for x
   x = 3,119,053.59/2,141.75
6. Step 6: Final answer
   x = 1,456.31