Finding the Fourth Proportional to 3,407.56, 5,112.42 and 2,586.76

Step by Step Solution

1. Step 1: Write the proportion equation
   3,407.56 : 5,112.42 = 2,586.76 : x
2. Step 2: Convert to fraction form
   3,407.56/5,112.42 = 2,586.76/x
3. Step 3: Cross multiply
   3,407.56x = 5,112.42 × 2,586.76
4. Step 4: Simplify right side
   3,407.56x = 13,224,603.56
5. Step 5: Solve for x
   x = 13,224,603.56/3,407.56
6. Step 6: Final answer
   x = 3,880.96