Finding the Fourth Proportional to 866.69, 1,196.27 and 493.87

Step by Step Solution

1. Step 1: Write the proportion equation
   866.69 : 1,196.27 = 493.87 : x
2. Step 2: Convert to fraction form
   866.69/1,196.27 = 493.87/x
3. Step 3: Cross multiply
   866.69x = 1,196.27 × 493.87
4. Step 4: Simplify right side
   866.69x = 590,801.86
5. Step 5: Solve for x
   x = 590,801.86/866.69
6. Step 6: Final answer
   x = 681.68