Finding the Fourth Proportional to 1,645.62, 2,271.59 and 1,016.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,645.62 : 2,271.59 = 1,016.25 : x
2. Step 2: Convert to fraction form
   1,645.62/2,271.59 = 1,016.25/x
3. Step 3: Cross multiply
   1,645.62x = 2,271.59 × 1,016.25
4. Step 4: Simplify right side
   1,645.62x = 2,308,498.26
5. Step 5: Solve for x
   x = 2,308,498.26/1,645.62
6. Step 6: Final answer
   x = 1,402.81