Finding the Fourth Proportional to 1,196.24, 1,795.06 and 502.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196.24 : 1,795.06 = 502.86 : x
2. Step 2: Convert to fraction form
   1,196.24/1,795.06 = 502.86/x
3. Step 3: Cross multiply
   1,196.24x = 1,795.06 × 502.86
4. Step 4: Simplify right side
   1,196.24x = 902,663.87
5. Step 5: Solve for x
   x = 902,663.87/1,196.24
6. Step 6: Final answer
   x = 754.58