Finding the Fourth Proportional to 978.68, 1,470.76 and 749.05

Step by Step Solution

1. Step 1: Write the proportion equation
   978.68 : 1,470.76 = 749.05 : x
2. Step 2: Convert to fraction form
   978.68/1,470.76 = 749.05/x
3. Step 3: Cross multiply
   978.68x = 1,470.76 × 749.05
4. Step 4: Simplify right side
   978.68x = 1,101,667.23
5. Step 5: Solve for x
   x = 1,101,667.23/978.68
6. Step 6: Final answer
   x = 1,125.66