Finding the Fourth Proportional to 1,645.38, 2,271.12 and 1,016.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,645.38 : 2,271.12 = 1,016.10 : x
2. Step 2: Convert to fraction form
   1,645.38/2,271.12 = 1,016.10/x
3. Step 3: Cross multiply
   1,645.38x = 2,271.12 × 1,016.10
4. Step 4: Simplify right side
   1,645.38x = 2,307,685.03
5. Step 5: Solve for x
   x = 2,307,685.03/1,645.38
6. Step 6: Final answer
   x = 1,402.52