Finding the Fourth Proportional to 1,196.34, 1,792.96 and 502.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196.34 : 1,792.96 = 502.10 : x
2. Step 2: Convert to fraction form
   1,196.34/1,792.96 = 502.10/x
3. Step 3: Cross multiply
   1,196.34x = 1,792.96 × 502.10
4. Step 4: Simplify right side
   1,196.34x = 900,243.13
5. Step 5: Solve for x
   x = 900,243.13/1,196.34
6. Step 6: Final answer
   x = 752.49