Finding the Fourth Proportional to 2,266.56, 3,126.56 and 1,566.72

Step by Step Solution

1. Step 1: Write the proportion equation
   2,266.56 : 3,126.56 = 1,566.72 : x
2. Step 2: Convert to fraction form
   2,266.56/3,126.56 = 1,566.72/x
3. Step 3: Cross multiply
   2,266.56x = 3,126.56 × 1,566.72
4. Step 4: Simplify right side
   2,266.56x = 4,898,444.08
5. Step 5: Solve for x
   x = 4,898,444.08/2,266.56
6. Step 6: Final answer
   x = 2,161.18