Finding the Fourth Proportional to 2,314.61, 3,194.10 and 1,319.83

Step by Step Solution

1. Step 1: Write the proportion equation
   2,314.61 : 3,194.10 = 1,319.83 : x
2. Step 2: Convert to fraction form
   2,314.61/3,194.10 = 1,319.83/x
3. Step 3: Cross multiply
   2,314.61x = 3,194.10 × 1,319.83
4. Step 4: Simplify right side
   2,314.61x = 4,215,661.02
5. Step 5: Solve for x
   x = 4,215,661.02/2,314.61
6. Step 6: Final answer
   x = 1,821.33