Finding the Fourth Proportional to 978.10, 1,460.02 and 855.10

Step by Step Solution

1. Step 1: Write the proportion equation
   978.10 : 1,460.02 = 855.10 : x
2. Step 2: Convert to fraction form
   978.10/1,460.02 = 855.10/x
3. Step 3: Cross multiply
   978.10x = 1,460.02 × 855.10
4. Step 4: Simplify right side
   978.10x = 1,248,463.10
5. Step 5: Solve for x
   x = 1,248,463.10/978.10
6. Step 6: Final answer
   x = 1,276.42