Finding the Fourth Proportional to 1,461.98, 2,194.49 and 978.41

Step by Step Solution

1. Step 1: Write the proportion equation
   1,461.98 : 2,194.49 = 978.41 : x
2. Step 2: Convert to fraction form
   1,461.98/2,194.49 = 978.41/x
3. Step 3: Cross multiply
   1,461.98x = 2,194.49 × 978.41
4. Step 4: Simplify right side
   1,461.98x = 2,147,118.89
5. Step 5: Solve for x
   x = 2,147,118.89/1,461.98
6. Step 6: Final answer
   x = 1,468.64