Finding the Fourth Proportional to 2,602.56, 3,591.62 and 1,423.64

Step by Step Solution

1. Step 1: Write the proportion equation
   2,602.56 : 3,591.62 = 1,423.64 : x
2. Step 2: Convert to fraction form
   2,602.56/3,591.62 = 1,423.64/x
3. Step 3: Cross multiply
   2,602.56x = 3,591.62 × 1,423.64
4. Step 4: Simplify right side
   2,602.56x = 5,113,173.90
5. Step 5: Solve for x
   x = 5,113,173.90/2,602.56
6. Step 6: Final answer
   x = 1,964.67