Finding the Fourth Proportional to 1,610.50, 2,222.58 and 912.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,610.50 : 2,222.58 = 912.10 : x
2. Step 2: Convert to fraction form
   1,610.50/2,222.58 = 912.10/x
3. Step 3: Cross multiply
   1,610.50x = 2,222.58 × 912.10
4. Step 4: Simplify right side
   1,610.50x = 2,027,215.22
5. Step 5: Solve for x
   x = 2,027,215.22/1,610.50
6. Step 6: Final answer
   x = 1,258.75