Finding the Fourth Proportional to 978.16, 1,349.87 and 536.10

Step by Step Solution

1. Step 1: Write the proportion equation
   978.16 : 1,349.87 = 536.10 : x
2. Step 2: Convert to fraction form
   978.16/1,349.87 = 536.10/x
3. Step 3: Cross multiply
   978.16x = 1,349.87 × 536.10
4. Step 4: Simplify right side
   978.16x = 723,665.31
5. Step 5: Solve for x
   x = 723,665.31/978.16
6. Step 6: Final answer
   x = 739.82