Finding the Fourth Proportional to 3,689.31, 5,096.41 and 2,569.69

Step by Step Solution

1. Step 1: Write the proportion equation
   3,689.31 : 5,096.41 = 2,569.69 : x
2. Step 2: Convert to fraction form
   3,689.31/5,096.41 = 2,569.69/x
3. Step 3: Cross multiply
   3,689.31x = 5,096.41 × 2,569.69
4. Step 4: Simplify right side
   3,689.31x = 13,096,193.81
5. Step 5: Solve for x
   x = 13,096,193.81/3,689.31
6. Step 6: Final answer
   x = 3,549.77