Finding the Fourth Proportional to 3,762.53, 5,194.37 and 2,270.82

Step by Step Solution

1. Step 1: Write the proportion equation
   3,762.53 : 5,194.37 = 2,270.82 : x
2. Step 2: Convert to fraction form
   3,762.53/5,194.37 = 2,270.82/x
3. Step 3: Cross multiply
   3,762.53x = 5,194.37 × 2,270.82
4. Step 4: Simplify right side
   3,762.53x = 11,795,467.93
5. Step 5: Solve for x
   x = 11,795,467.93/3,762.53
6. Step 6: Final answer
   x = 3,134.99