Finding the Fourth Proportional to 1,410.96, 1,945.49 and 978.74

Step by Step Solution

1. Step 1: Write the proportion equation
   1,410.96 : 1,945.49 = 978.74 : x
2. Step 2: Convert to fraction form
   1,410.96/1,945.49 = 978.74/x
3. Step 3: Cross multiply
   1,410.96x = 1,945.49 × 978.74
4. Step 4: Simplify right side
   1,410.96x = 1,904,114.26
5. Step 5: Solve for x
   x = 1,904,114.26/1,410.96
6. Step 6: Final answer
   x = 1,349.52