Finding the Fourth Proportional to 1,413.59, 2,117.83 and 590.43

Step by Step Solution

1. Step 1: Write the proportion equation
   1,413.59 : 2,117.83 = 590.43 : x
2. Step 2: Convert to fraction form
   1,413.59/2,117.83 = 590.43/x
3. Step 3: Cross multiply
   1,413.59x = 2,117.83 × 590.43
4. Step 4: Simplify right side
   1,413.59x = 1,250,430.37
5. Step 5: Solve for x
   x = 1,250,430.37/1,413.59
6. Step 6: Final answer
   x = 884.58