Finding the Fourth Proportional to 2,798.50, 4,199.67 and 974.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,798.50 : 4,199.67 = 974.50 : x
2. Step 2: Convert to fraction form
   2,798.50/4,199.67 = 974.50/x
3. Step 3: Cross multiply
   2,798.50x = 4,199.67 × 974.50
4. Step 4: Simplify right side
   2,798.50x = 4,092,578.42
5. Step 5: Solve for x
   x = 4,092,578.42/2,798.50
6. Step 6: Final answer
   x = 1,462.42