Finding the Fourth Proportional to 2,074.50, 3,110.22 and 978

Step by Step Solution

1. Step 1: Write the proportion equation
   2,074.50 : 3,110.22 = 978 : x
2. Step 2: Convert to fraction form
   2,074.50/3,110.22 = 978/x
3. Step 3: Cross multiply
   2,074.50x = 3,110.22 × 978
4. Step 4: Simplify right side
   2,074.50x = 3,041,795.16
5. Step 5: Solve for x
   x = 3,041,795.16/2,074.50
6. Step 6: Final answer
   x = 1,466.28