Finding the Fourth Proportional to 1,904.57, 2,851.57 and 978.12

Step by Step Solution

1. Step 1: Write the proportion equation
   1,904.57 : 2,851.57 = 978.12 : x
2. Step 2: Convert to fraction form
   1,904.57/2,851.57 = 978.12/x
3. Step 3: Cross multiply
   1,904.57x = 2,851.57 × 978.12
4. Step 4: Simplify right side
   1,904.57x = 2,789,177.65
5. Step 5: Solve for x
   x = 2,789,177.65/1,904.57
6. Step 6: Final answer
   x = 1,464.47