Finding the Fourth Proportional to 3,434.88, 5,152.78 and 1,586.41

Step by Step Solution

1. Step 1: Write the proportion equation
   3,434.88 : 5,152.78 = 1,586.41 : x
2. Step 2: Convert to fraction form
   3,434.88/5,152.78 = 1,586.41/x
3. Step 3: Cross multiply
   3,434.88x = 5,152.78 × 1,586.41
4. Step 4: Simplify right side
   3,434.88x = 8,174,421.72
5. Step 5: Solve for x
   x = 8,174,421.72/3,434.88
6. Step 6: Final answer
   x = 2,379.83