Finding the Fourth Proportional to 2,141.96, 3,212.96 and 971.72

Step by Step Solution

1. Step 1: Write the proportion equation
   2,141.96 : 3,212.96 = 971.72 : x
2. Step 2: Convert to fraction form
   2,141.96/3,212.96 = 971.72/x
3. Step 3: Cross multiply
   2,141.96x = 3,212.96 × 971.72
4. Step 4: Simplify right side
   2,141.96x = 3,122,088.62
5. Step 5: Solve for x
   x = 3,122,088.62/2,141.96
6. Step 6: Final answer
   x = 1,457.59