Finding the Fourth Proportional to 2,513.91, 3,771.27 and 782.13

Step by Step Solution

1. Step 1: Write the proportion equation
   2,513.91 : 3,771.27 = 782.13 : x
2. Step 2: Convert to fraction form
   2,513.91/3,771.27 = 782.13/x
3. Step 3: Cross multiply
   2,513.91x = 3,771.27 × 782.13
4. Step 4: Simplify right side
   2,513.91x = 2,949,623.41
5. Step 5: Solve for x
   x = 2,949,623.41/2,513.91
6. Step 6: Final answer
   x = 1,173.32