Finding the Fourth Proportional to 2,081.65, 3,116.40 and 1,972.30

Step by Step Solution

1. Step 1: Write the proportion equation
   2,081.65 : 3,116.40 = 1,972.30 : x
2. Step 2: Convert to fraction form
   2,081.65/3,116.40 = 1,972.30/x
3. Step 3: Cross multiply
   2,081.65x = 3,116.40 × 1,972.30
4. Step 4: Simplify right side
   2,081.65x = 6,146,475.72
5. Step 5: Solve for x
   x = 6,146,475.72/2,081.65
6. Step 6: Final answer
   x = 2,952.69