Finding the Fourth Proportional to 978.82, 1,350.82 and 536.76

Step by Step Solution

1. Step 1: Write the proportion equation
   978.82 : 1,350.82 = 536.76 : x
2. Step 2: Convert to fraction form
   978.82/1,350.82 = 536.76/x
3. Step 3: Cross multiply
   978.82x = 1,350.82 × 536.76
4. Step 4: Simplify right side
   978.82x = 725,066.14
5. Step 5: Solve for x
   x = 725,066.14/978.82
6. Step 6: Final answer
   x = 740.76