Finding the Fourth Proportional to 1,192.86, 1,788.84 and 412.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,192.86 : 1,788.84 = 412.72 : x
2. Step 2: Convert to fraction form
   1,192.86/1,788.84 = 412.72/x
3. Step 3: Cross multiply
   1,192.86x = 1,788.84 × 412.72
4. Step 4: Simplify right side
   1,192.86x = 738,290.04
5. Step 5: Solve for x
   x = 738,290.04/1,192.86
6. Step 6: Final answer
   x = 618.92