Finding the Fourth Proportional to 3,686.51, 5,086.59 and 2,269.82

Step by Step Solution

1. Step 1: Write the proportion equation
   3,686.51 : 5,086.59 = 2,269.82 : x
2. Step 2: Convert to fraction form
   3,686.51/5,086.59 = 2,269.82/x
3. Step 3: Cross multiply
   3,686.51x = 5,086.59 × 2,269.82
4. Step 4: Simplify right side
   3,686.51x = 11,545,643.71
5. Step 5: Solve for x
   x = 11,545,643.71/3,686.51
6. Step 6: Final answer
   x = 3,131.86