Finding the Fourth Proportional to 1,192.72, 1,788.72 and 781.84

Step by Step Solution

1. Step 1: Write the proportion equation
   1,192.72 : 1,788.72 = 781.84 : x
2. Step 2: Convert to fraction form
   1,192.72/1,788.72 = 781.84/x
3. Step 3: Cross multiply
   1,192.72x = 1,788.72 × 781.84
4. Step 4: Simplify right side
   1,192.72x = 1,398,492.84
5. Step 5: Solve for x
   x = 1,398,492.84/1,192.72
6. Step 6: Final answer
   x = 1,172.52