Finding the Fourth Proportional to 1,856.48, 2,783.82 and 978.04

Step by Step Solution

1. Step 1: Write the proportion equation
   1,856.48 : 2,783.82 = 978.04 : x
2. Step 2: Convert to fraction form
   1,856.48/2,783.82 = 978.04/x
3. Step 3: Cross multiply
   1,856.48x = 2,783.82 × 978.04
4. Step 4: Simplify right side
   1,856.48x = 2,722,687.31
5. Step 5: Solve for x
   x = 2,722,687.31/1,856.48
6. Step 6: Final answer
   x = 1,466.59