Finding the Fourth Proportional to 2,077.39, 3,116.23 and 596.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,077.39 : 3,116.23 = 596.50 : x
2. Step 2: Convert to fraction form
   2,077.39/3,116.23 = 596.50/x
3. Step 3: Cross multiply
   2,077.39x = 3,116.23 × 596.50
4. Step 4: Simplify right side
   2,077.39x = 1,858,836.95
5. Step 5: Solve for x
   x = 1,858,836.95/2,077.39
6. Step 6: Final answer
   x = 894.79