Finding the Fourth Proportional to 1,192.53, 1,645.69 and 726.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,192.53 : 1,645.69 = 726.78 : x
2. Step 2: Convert to fraction form
   1,192.53/1,645.69 = 726.78/x
3. Step 3: Cross multiply
   1,192.53x = 1,645.69 × 726.78
4. Step 4: Simplify right side
   1,192.53x = 1,196,054.58
5. Step 5: Solve for x
   x = 1,196,054.58/1,192.53
6. Step 6: Final answer
   x = 1,002.96