Finding the Fourth Proportional to 1,196.05, 1,794.16 and 502.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196.05 : 1,794.16 = 502.02 : x
2. Step 2: Convert to fraction form
   1,196.05/1,794.16 = 502.02/x
3. Step 3: Cross multiply
   1,196.05x = 1,794.16 × 502.02
4. Step 4: Simplify right side
   1,196.05x = 900,704.20
5. Step 5: Solve for x
   x = 900,704.20/1,196.05
6. Step 6: Final answer
   x = 753.07