Finding the Fourth Proportional to 2,666.56, 3,680.06 and 1,471.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,666.56 : 3,680.06 = 1,471.78 : x
2. Step 2: Convert to fraction form
   2,666.56/3,680.06 = 1,471.78/x
3. Step 3: Cross multiply
   2,666.56x = 3,680.06 × 1,471.78
4. Step 4: Simplify right side
   2,666.56x = 5,416,251.47
5. Step 5: Solve for x
   x = 5,416,251.47/2,666.56
6. Step 6: Final answer
   x = 2,031.18