Finding the Fourth Proportional to 1,055.82, 1,456.98 and 590.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,055.82 : 1,456.98 = 590.10 : x
2. Step 2: Convert to fraction form
   1,055.82/1,456.98 = 590.10/x
3. Step 3: Cross multiply
   1,055.82x = 1,456.98 × 590.10
4. Step 4: Simplify right side
   1,055.82x = 859,763.90
5. Step 5: Solve for x
   x = 859,763.90/1,055.82
6. Step 6: Final answer
   x = 814.31