Finding the Fourth Proportional to 2,066.38, 3,099.50 and 585.70

Step by Step Solution

1. Step 1: Write the proportion equation
   2,066.38 : 3,099.50 = 585.70 : x
2. Step 2: Convert to fraction form
   2,066.38/3,099.50 = 585.70/x
3. Step 3: Cross multiply
   2,066.38x = 3,099.50 × 585.70
4. Step 4: Simplify right side
   2,066.38x = 1,815,377.15
5. Step 5: Solve for x
   x = 1,815,377.15/2,066.38
6. Step 6: Final answer
   x = 878.53