Finding the Fourth Proportional to 2,141.68, 3,212.83 and 972.08

Step by Step Solution

1. Step 1: Write the proportion equation
   2,141.68 : 3,212.83 = 972.08 : x
2. Step 2: Convert to fraction form
   2,141.68/3,212.83 = 972.08/x
3. Step 3: Cross multiply
   2,141.68x = 3,212.83 × 972.08
4. Step 4: Simplify right side
   2,141.68x = 3,123,127.79
5. Step 5: Solve for x
   x = 3,123,127.79/2,141.68
6. Step 6: Final answer
   x = 1,458.26