Finding the Fourth Proportional to 1,196.70, 1,794.15 and 502.80

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196.70 : 1,794.15 = 502.80 : x
2. Step 2: Convert to fraction form
   1,196.70/1,794.15 = 502.80/x
3. Step 3: Cross multiply
   1,196.70x = 1,794.15 × 502.80
4. Step 4: Simplify right side
   1,196.70x = 902,098.62
5. Step 5: Solve for x
   x = 902,098.62/1,196.70
6. Step 6: Final answer
   x = 753.82