Finding the Fourth Proportional to 2,598.98, 3,586.50 and 1,420.02

Step by Step Solution

1. Step 1: Write the proportion equation
   2,598.98 : 3,586.50 = 1,420.02 : x
2. Step 2: Convert to fraction form
   2,598.98/3,586.50 = 1,420.02/x
3. Step 3: Cross multiply
   2,598.98x = 3,586.50 × 1,420.02
4. Step 4: Simplify right side
   2,598.98x = 5,092,901.73
5. Step 5: Solve for x
   x = 5,092,901.73/2,598.98
6. Step 6: Final answer
   x = 1,959.58