Finding the Fourth Proportional to 1,196.29, 1,794.36 and 502.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196.29 : 1,794.36 = 502.59 : x
2. Step 2: Convert to fraction form
   1,196.29/1,794.36 = 502.59/x
3. Step 3: Cross multiply
   1,196.29x = 1,794.36 × 502.59
4. Step 4: Simplify right side
   1,196.29x = 901,836.01
5. Step 5: Solve for x
   x = 901,836.01/1,196.29
6. Step 6: Final answer
   x = 753.86