Finding the Fourth Proportional to 3,693.89, 5,095.57 and 2,277.89

Step by Step Solution

1. Step 1: Write the proportion equation
   3,693.89 : 5,095.57 = 2,277.89 : x
2. Step 2: Convert to fraction form
   3,693.89/5,095.57 = 2,277.89/x
3. Step 3: Cross multiply
   3,693.89x = 5,095.57 × 2,277.89
4. Step 4: Simplify right side
   3,693.89x = 11,607,147.95
5. Step 5: Solve for x
   x = 11,607,147.95/3,693.89
6. Step 6: Final answer
   x = 3,142.26