Finding the Fourth Proportional to 2,258.34, 3,385.78 and 1,071.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,258.34 : 3,385.78 = 1,071.78 : x
2. Step 2: Convert to fraction form
   2,258.34/3,385.78 = 1,071.78/x
3. Step 3: Cross multiply
   2,258.34x = 3,385.78 × 1,071.78
4. Step 4: Simplify right side
   2,258.34x = 3,628,811.29
5. Step 5: Solve for x
   x = 3,628,811.29/2,258.34
6. Step 6: Final answer
   x = 1,606.85