Finding the Fourth Proportional to 1,641.54, 2,264.64 and 978.18

Step by Step Solution

1. Step 1: Write the proportion equation
   1,641.54 : 2,264.64 = 978.18 : x
2. Step 2: Convert to fraction form
   1,641.54/2,264.64 = 978.18/x
3. Step 3: Cross multiply
   1,641.54x = 2,264.64 × 978.18
4. Step 4: Simplify right side
   1,641.54x = 2,215,225.56
5. Step 5: Solve for x
   x = 2,215,225.56/1,641.54
6. Step 6: Final answer
   x = 1,349.48