Finding the Fourth Proportional to 1,646.25, 2,272.86 and 1,057.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,646.25 : 2,272.86 = 1,057.82 : x
2. Step 2: Convert to fraction form
   1,646.25/2,272.86 = 1,057.82/x
3. Step 3: Cross multiply
   1,646.25x = 2,272.86 × 1,057.82
4. Step 4: Simplify right side
   1,646.25x = 2,404,265.40
5. Step 5: Solve for x
   x = 2,404,265.40/1,646.25
6. Step 6: Final answer
   x = 1,460.45