Finding the Fourth Proportional to 1,764.14, 2,434.46 and 978.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,764.14 : 2,434.46 = 978.16 : x
2. Step 2: Convert to fraction form
   1,764.14/2,434.46 = 978.16/x
3. Step 3: Cross multiply
   1,764.14x = 2,434.46 × 978.16
4. Step 4: Simplify right side
   1,764.14x = 2,381,291.39
5. Step 5: Solve for x
   x = 2,381,291.39/1,764.14
6. Step 6: Final answer
   x = 1,349.83