Finding the Fourth Proportional to 1,645.77, 2,270.89 and 1,016.40

Step by Step Solution

1. Step 1: Write the proportion equation
   1,645.77 : 2,270.89 = 1,016.40 : x
2. Step 2: Convert to fraction form
   1,645.77/2,270.89 = 1,016.40/x
3. Step 3: Cross multiply
   1,645.77x = 2,270.89 × 1,016.40
4. Step 4: Simplify right side
   1,645.77x = 2,308,140.48
5. Step 5: Solve for x
   x = 2,308,140.48/1,645.77
6. Step 6: Final answer
   x = 1,402.47