Finding the Fourth Proportional to 1,664.56, 2,298.06 and 1,105.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,664.56 : 2,298.06 = 1,105.78 : x
2. Step 2: Convert to fraction form
   1,664.56/2,298.06 = 1,105.78/x
3. Step 3: Cross multiply
   1,664.56x = 2,298.06 × 1,105.78
4. Step 4: Simplify right side
   1,664.56x = 2,541,148.79
5. Step 5: Solve for x
   x = 2,541,148.79/1,664.56
6. Step 6: Final answer
   x = 1,526.62