Finding the Fourth Proportional to 1,905.81, 2,854.71 and 978.54

Step by Step Solution

1. Step 1: Write the proportion equation
   1,905.81 : 2,854.71 = 978.54 : x
2. Step 2: Convert to fraction form
   1,905.81/2,854.71 = 978.54/x
3. Step 3: Cross multiply
   1,905.81x = 2,854.71 × 978.54
4. Step 4: Simplify right side
   1,905.81x = 2,793,447.92
5. Step 5: Solve for x
   x = 2,793,447.92/1,905.81
6. Step 6: Final answer
   x = 1,465.75