Finding the Fourth Proportional to 2,599.06, 3,586.63 and 1,420.15

Step by Step Solution

1. Step 1: Write the proportion equation
   2,599.06 : 3,586.63 = 1,420.15 : x
2. Step 2: Convert to fraction form
   2,599.06/3,586.63 = 1,420.15/x
3. Step 3: Cross multiply
   2,599.06x = 3,586.63 × 1,420.15
4. Step 4: Simplify right side
   2,599.06x = 5,093,552.59
5. Step 5: Solve for x
   x = 5,093,552.59/2,599.06
6. Step 6: Final answer
   x = 1,959.77