Finding the Fourth Proportional to 2,049.68, 3,074.18 and 588.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,049.68 : 3,074.18 = 588.50 : x
2. Step 2: Convert to fraction form
   2,049.68/3,074.18 = 588.50/x
3. Step 3: Cross multiply
   2,049.68x = 3,074.18 × 588.50
4. Step 4: Simplify right side
   2,049.68x = 1,809,141.03
5. Step 5: Solve for x
   x = 1,809,141.03/2,049.68
6. Step 6: Final answer
   x = 882.65