Finding the Fourth Proportional to 1,196.31, 1,794.80 and 502.62

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196.31 : 1,794.80 = 502.62 : x
2. Step 2: Convert to fraction form
   1,196.31/1,794.80 = 502.62/x
3. Step 3: Cross multiply
   1,196.31x = 1,794.80 × 502.62
4. Step 4: Simplify right side
   1,196.31x = 902,099.15
5. Step 5: Solve for x
   x = 902,099.15/1,196.31
6. Step 6: Final answer
   x = 754.07