Finding the Fourth Proportional to 1,764.40, 2,434.86 and 978.47

Step by Step Solution

1. Step 1: Write the proportion equation
   1,764.40 : 2,434.86 = 978.47 : x
2. Step 2: Convert to fraction form
   1,764.40/2,434.86 = 978.47/x
3. Step 3: Cross multiply
   1,764.40x = 2,434.86 × 978.47
4. Step 4: Simplify right side
   1,764.40x = 2,382,437.46
5. Step 5: Solve for x
   x = 2,382,437.46/1,764.40
6. Step 6: Final answer
   x = 1,350.28