Finding the Fourth Proportional to 1,196.55, 1,793.88 and 465.93

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196.55 : 1,793.88 = 465.93 : x
2. Step 2: Convert to fraction form
   1,196.55/1,793.88 = 465.93/x
3. Step 3: Cross multiply
   1,196.55x = 1,793.88 × 465.93
4. Step 4: Simplify right side
   1,196.55x = 835,822.51
5. Step 5: Solve for x
   x = 835,822.51/1,196.55
6. Step 6: Final answer
   x = 698.53