Finding the Fourth Proportional to 2,196.81, 3,029.72 and 1,566.14

Step by Step Solution

1. Step 1: Write the proportion equation
   2,196.81 : 3,029.72 = 1,566.14 : x
2. Step 2: Convert to fraction form
   2,196.81/3,029.72 = 1,566.14/x
3. Step 3: Cross multiply
   2,196.81x = 3,029.72 × 1,566.14
4. Step 4: Simplify right side
   2,196.81x = 4,744,942.70
5. Step 5: Solve for x
   x = 4,744,942.70/2,196.81
6. Step 6: Final answer
   x = 2,159.92