Finding the Fourth Proportional to 1,914.64, 2,642.56 and 1,206.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,914.64 : 2,642.56 = 1,206.56 : x
2. Step 2: Convert to fraction form
   1,914.64/2,642.56 = 1,206.56/x
3. Step 3: Cross multiply
   1,914.64x = 2,642.56 × 1,206.56
4. Step 4: Simplify right side
   1,914.64x = 3,188,410.78
5. Step 5: Solve for x
   x = 3,188,410.78/1,914.64
6. Step 6: Final answer
   x = 1,665.28