Finding the Fourth Proportional to 3,778.77, 5,663.34 and 2,136.23

Step by Step Solution

1. Step 1: Write the proportion equation
   3,778.77 : 5,663.34 = 2,136.23 : x
2. Step 2: Convert to fraction form
   3,778.77/5,663.34 = 2,136.23/x
3. Step 3: Cross multiply
   3,778.77x = 5,663.34 × 2,136.23
4. Step 4: Simplify right side
   3,778.77x = 12,098,196.81
5. Step 5: Solve for x
   x = 12,098,196.81/3,778.77
6. Step 6: Final answer
   x = 3,201.62