Finding the Fourth Proportional to 1,083.78, 1,492.43 and 769.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,083.78 : 1,492.43 = 769.10 : x
2. Step 2: Convert to fraction form
   1,083.78/1,492.43 = 769.10/x
3. Step 3: Cross multiply
   1,083.78x = 1,492.43 × 769.10
4. Step 4: Simplify right side
   1,083.78x = 1,147,816.61
5. Step 5: Solve for x
   x = 1,147,816.61/1,083.78
6. Step 6: Final answer
   x = 1,059.09