Finding the Fourth Proportional to 2,602.10, 3,590.72 and 1,423.14

Step by Step Solution

1. Step 1: Write the proportion equation
   2,602.10 : 3,590.72 = 1,423.14 : x
2. Step 2: Convert to fraction form
   2,602.10/3,590.72 = 1,423.14/x
3. Step 3: Cross multiply
   2,602.10x = 3,590.72 × 1,423.14
4. Step 4: Simplify right side
   2,602.10x = 5,110,097.26
5. Step 5: Solve for x
   x = 5,110,097.26/2,602.10
6. Step 6: Final answer
   x = 1,963.84