Finding the Fourth Proportional to 1,677.50, 2,314.96 and 978.74

Step by Step Solution

1. Step 1: Write the proportion equation
   1,677.50 : 2,314.96 = 978.74 : x
2. Step 2: Convert to fraction form
   1,677.50/2,314.96 = 978.74/x
3. Step 3: Cross multiply
   1,677.50x = 2,314.96 × 978.74
4. Step 4: Simplify right side
   1,677.50x = 2,265,743.95
5. Step 5: Solve for x
   x = 2,265,743.95/1,677.50
6. Step 6: Final answer
   x = 1,350.67