Finding the Fourth Proportional to 2,768.52, 3,827.76 and 2,646.12

Step by Step Solution

1. Step 1: Write the proportion equation
   2,768.52 : 3,827.76 = 2,646.12 : x
2. Step 2: Convert to fraction form
   2,768.52/3,827.76 = 2,646.12/x
3. Step 3: Cross multiply
   2,768.52x = 3,827.76 × 2,646.12
4. Step 4: Simplify right side
   2,768.52x = 10,128,712.29
5. Step 5: Solve for x
   x = 10,128,712.29/2,768.52
6. Step 6: Final answer
   x = 3,658.53