Finding the Fourth Proportional to 1,196.59, 1,793.51 and 465.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196.59 : 1,793.51 = 465.55 : x
2. Step 2: Convert to fraction form
   1,196.59/1,793.51 = 465.55/x
3. Step 3: Cross multiply
   1,196.59x = 1,793.51 × 465.55
4. Step 4: Simplify right side
   1,196.59x = 834,963.51
5. Step 5: Solve for x
   x = 834,963.51/1,196.59
6. Step 6: Final answer
   x = 697.79