Finding the Fourth Proportional to 2,492.69, 3,739.57 and 826.74

Step by Step Solution

1. Step 1: Write the proportion equation
   2,492.69 : 3,739.57 = 826.74 : x
2. Step 2: Convert to fraction form
   2,492.69/3,739.57 = 826.74/x
3. Step 3: Cross multiply
   2,492.69x = 3,739.57 × 826.74
4. Step 4: Simplify right side
   2,492.69x = 3,091,650.03
5. Step 5: Solve for x
   x = 3,091,650.03/2,492.69
6. Step 6: Final answer
   x = 1,240.29