Finding the Fourth Proportional to 2,599.10, 3,586.86 and 1,420.16

Step by Step Solution

1. Step 1: Write the proportion equation
   2,599.10 : 3,586.86 = 1,420.16 : x
2. Step 2: Convert to fraction form
   2,599.10/3,586.86 = 1,420.16/x
3. Step 3: Cross multiply
   2,599.10x = 3,586.86 × 1,420.16
4. Step 4: Simplify right side
   2,599.10x = 5,093,915.10
5. Step 5: Solve for x
   x = 5,093,915.10/2,599.10
6. Step 6: Final answer
   x = 1,959.88