Finding the Fourth Proportional to 2,492.02, 3,738.58 and 760.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,492.02 : 3,738.58 = 760.78 : x
2. Step 2: Convert to fraction form
   2,492.02/3,738.58 = 760.78/x
3. Step 3: Cross multiply
   2,492.02x = 3,738.58 × 760.78
4. Step 4: Simplify right side
   2,492.02x = 2,844,236.89
5. Step 5: Solve for x
   x = 2,844,236.89/2,492.02
6. Step 6: Final answer
   x = 1,141.34