Finding the Fourth Proportional to 2,042.64, 2,817.72 and 1,296.09

Step by Step Solution

1. Step 1: Write the proportion equation
   2,042.64 : 2,817.72 = 1,296.09 : x
2. Step 2: Convert to fraction form
   2,042.64/2,817.72 = 1,296.09/x
3. Step 3: Cross multiply
   2,042.64x = 2,817.72 × 1,296.09
4. Step 4: Simplify right side
   2,042.64x = 3,652,018.71
5. Step 5: Solve for x
   x = 3,652,018.71/2,042.64
6. Step 6: Final answer
   x = 1,787.89