Finding the Fourth Proportional to 2,141.82, 3,213.12 and 971.84

Step by Step Solution

1. Step 1: Write the proportion equation
   2,141.82 : 3,213.12 = 971.84 : x
2. Step 2: Convert to fraction form
   2,141.82/3,213.12 = 971.84/x
3. Step 3: Cross multiply
   2,141.82x = 3,213.12 × 971.84
4. Step 4: Simplify right side
   2,141.82x = 3,122,638.54
5. Step 5: Solve for x
   x = 3,122,638.54/2,141.82
6. Step 6: Final answer
   x = 1,457.94