Finding the Fourth Proportional to 3,695.86, 5,098.78 and 2,259.49

Step by Step Solution

1. Step 1: Write the proportion equation
   3,695.86 : 5,098.78 = 2,259.49 : x
2. Step 2: Convert to fraction form
   3,695.86/5,098.78 = 2,259.49/x
3. Step 3: Cross multiply
   3,695.86x = 5,098.78 × 2,259.49
4. Step 4: Simplify right side
   3,695.86x = 11,520,642.42
5. Step 5: Solve for x
   x = 11,520,642.42/3,695.86
6. Step 6: Final answer
   x = 3,117.18