Finding the Fourth Proportional to 1,196.30, 1,792.16 and 1,002.54

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196.30 : 1,792.16 = 1,002.54 : x
2. Step 2: Convert to fraction form
   1,196.30/1,792.16 = 1,002.54/x
3. Step 3: Cross multiply
   1,196.30x = 1,792.16 × 1,002.54
4. Step 4: Simplify right side
   1,196.30x = 1,796,714.59
5. Step 5: Solve for x
   x = 1,796,714.59/1,196.30
6. Step 6: Final answer
   x = 1,501.89