Finding the Fourth Proportional to 978.75, 1,468.61 and 749.10

Step by Step Solution

1. Step 1: Write the proportion equation
   978.75 : 1,468.61 = 749.10 : x
2. Step 2: Convert to fraction form
   978.75/1,468.61 = 749.10/x
3. Step 3: Cross multiply
   978.75x = 1,468.61 × 749.10
4. Step 4: Simplify right side
   978.75x = 1,100,132.01
5. Step 5: Solve for x
   x = 1,100,132.01/978.75
6. Step 6: Final answer
   x = 1,124.02