Finding the Fourth Proportional to 2,599.60, 3,587.50 and 1,420.72

Step by Step Solution

1. Step 1: Write the proportion equation
   2,599.60 : 3,587.50 = 1,420.72 : x
2. Step 2: Convert to fraction form
   2,599.60/3,587.50 = 1,420.72/x
3. Step 3: Cross multiply
   2,599.60x = 3,587.50 × 1,420.72
4. Step 4: Simplify right side
   2,599.60x = 5,096,833
5. Step 5: Solve for x
   x = 5,096,833/2,599.60
6. Step 6: Final answer
   x = 1,960.62