Finding the Fourth Proportional to 1,901.86, 2,855.40 and 978.14

Step by Step Solution

1. Step 1: Write the proportion equation
   1,901.86 : 2,855.40 = 978.14 : x
2. Step 2: Convert to fraction form
   1,901.86/2,855.40 = 978.14/x
3. Step 3: Cross multiply
   1,901.86x = 2,855.40 × 978.14
4. Step 4: Simplify right side
   1,901.86x = 2,792,980.96
5. Step 5: Solve for x
   x = 2,792,980.96/1,901.86
6. Step 6: Final answer
   x = 1,468.55