Finding the Fourth Proportional to 1,648.96, 2,291.54 and 1,628.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,648.96 : 2,291.54 = 1,628.30 : x
2. Step 2: Convert to fraction form
   1,648.96/2,291.54 = 1,628.30/x
3. Step 3: Cross multiply
   1,648.96x = 2,291.54 × 1,628.30
4. Step 4: Simplify right side
   1,648.96x = 3,731,321.33
5. Step 5: Solve for x
   x = 3,731,321.33/1,648.96
6. Step 6: Final answer
   x = 2,262.84