Finding the Fourth Proportional to 2,665.60, 3,994.60 and 1,966.76

Step by Step Solution

1. Step 1: Write the proportion equation
   2,665.60 : 3,994.60 = 1,966.76 : x
2. Step 2: Convert to fraction form
   2,665.60/3,994.60 = 1,966.76/x
3. Step 3: Cross multiply
   2,665.60x = 3,994.60 × 1,966.76
4. Step 4: Simplify right side
   2,665.60x = 7,856,419.50
5. Step 5: Solve for x
   x = 7,856,419.50/2,665.60
6. Step 6: Final answer
   x = 2,947.34