Finding the Fourth Proportional to 1,456.76, 2,185.38 and 590.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,456.76 : 2,185.38 = 590.88 : x
2. Step 2: Convert to fraction form
   1,456.76/2,185.38 = 590.88/x
3. Step 3: Cross multiply
   1,456.76x = 2,185.38 × 590.88
4. Step 4: Simplify right side
   1,456.76x = 1,291,297.33
5. Step 5: Solve for x
   x = 1,291,297.33/1,456.76
6. Step 6: Final answer
   x = 886.42