Finding the Fourth Proportional to 1,196.19, 1,793.61 and 465.21

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196.19 : 1,793.61 = 465.21 : x
2. Step 2: Convert to fraction form
   1,196.19/1,793.61 = 465.21/x
3. Step 3: Cross multiply
   1,196.19x = 1,793.61 × 465.21
4. Step 4: Simplify right side
   1,196.19x = 834,405.31
5. Step 5: Solve for x
   x = 834,405.31/1,196.19
6. Step 6: Final answer
   x = 697.55