Finding the Fourth Proportional to 1,764.09, 2,434.50 and 978.20

Step by Step Solution

1. Step 1: Write the proportion equation
   1,764.09 : 2,434.50 = 978.20 : x
2. Step 2: Convert to fraction form
   1,764.09/2,434.50 = 978.20/x
3. Step 3: Cross multiply
   1,764.09x = 2,434.50 × 978.20
4. Step 4: Simplify right side
   1,764.09x = 2,381,415.73
5. Step 5: Solve for x
   x = 2,381,415.73/1,764.09
6. Step 6: Final answer
   x = 1,349.94