Finding the Fourth Proportional to 2,606.38, 3,596.80 and 1,427.47

Step by Step Solution

1. Step 1: Write the proportion equation
   2,606.38 : 3,596.80 = 1,427.47 : x
2. Step 2: Convert to fraction form
   2,606.38/3,596.80 = 1,427.47/x
3. Step 3: Cross multiply
   2,606.38x = 3,596.80 × 1,427.47
4. Step 4: Simplify right side
   2,606.38x = 5,134,324.10
5. Step 5: Solve for x
   x = 5,134,324.10/2,606.38
6. Step 6: Final answer
   x = 1,969.91