Finding the Fourth Proportional to 2,026.64, 2,796.84 and 1,142.39

Step by Step Solution

1. Step 1: Write the proportion equation
   2,026.64 : 2,796.84 = 1,142.39 : x
2. Step 2: Convert to fraction form
   2,026.64/2,796.84 = 1,142.39/x
3. Step 3: Cross multiply
   2,026.64x = 2,796.84 × 1,142.39
4. Step 4: Simplify right side
   2,026.64x = 3,195,068.06
5. Step 5: Solve for x
   x = 3,195,068.06/2,026.64
6. Step 6: Final answer
   x = 1,576.54