Finding the Fourth Proportional to 1,196.14, 1,793.47 and 464.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196.14 : 1,793.47 = 464.86 : x
2. Step 2: Convert to fraction form
   1,196.14/1,793.47 = 464.86/x
3. Step 3: Cross multiply
   1,196.14x = 1,793.47 × 464.86
4. Step 4: Simplify right side
   1,196.14x = 833,715.29
5. Step 5: Solve for x
   x = 833,715.29/1,196.14
6. Step 6: Final answer
   x = 697.01