Finding the Fourth Proportional to 1,258.56, 1,884.40 and 1,106.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,258.56 : 1,884.40 = 1,106.69 : x
2. Step 2: Convert to fraction form
   1,258.56/1,884.40 = 1,106.69/x
3. Step 3: Cross multiply
   1,258.56x = 1,884.40 × 1,106.69
4. Step 4: Simplify right side
   1,258.56x = 2,085,434.45
5. Step 5: Solve for x
   x = 2,085,434.45/1,258.56
6. Step 6: Final answer
   x = 1,657.00