Finding the Fourth Proportional to 5,096.53, 7,645.89 and 1,586.46

Step by Step Solution

1. Step 1: Write the proportion equation
   5,096.53 : 7,645.89 = 1,586.46 : x
2. Step 2: Convert to fraction form
   5,096.53/7,645.89 = 1,586.46/x
3. Step 3: Cross multiply
   5,096.53x = 7,645.89 × 1,586.46
4. Step 4: Simplify right side
   5,096.53x = 12,129,933.27
5. Step 5: Solve for x
   x = 12,129,933.27/5,096.53
6. Step 6: Final answer
   x = 2,380.04