Finding the Fourth Proportional to 2,599.16, 3,586.82 and 1,420.20

Step by Step Solution

1. Step 1: Write the proportion equation
   2,599.16 : 3,586.82 = 1,420.20 : x
2. Step 2: Convert to fraction form
   2,599.16/3,586.82 = 1,420.20/x
3. Step 3: Cross multiply
   2,599.16x = 3,586.82 × 1,420.20
4. Step 4: Simplify right side
   2,599.16x = 5,093,994.66
5. Step 5: Solve for x
   x = 5,093,994.66/2,599.16
6. Step 6: Final answer
   x = 1,959.87