Finding the Fourth Proportional to 2,599.04, 3,586.65 and 1,420.10

Step by Step Solution

1. Step 1: Write the proportion equation
   2,599.04 : 3,586.65 = 1,420.10 : x
2. Step 2: Convert to fraction form
   2,599.04/3,586.65 = 1,420.10/x
3. Step 3: Cross multiply
   2,599.04x = 3,586.65 × 1,420.10
4. Step 4: Simplify right side
   2,599.04x = 5,093,391.86
5. Step 5: Solve for x
   x = 5,093,391.86/2,599.04
6. Step 6: Final answer
   x = 1,959.72