Finding the Fourth Proportional to 2,026.37, 2,796.56 and 1,142.35

Step by Step Solution

1. Step 1: Write the proportion equation
   2,026.37 : 2,796.56 = 1,142.35 : x
2. Step 2: Convert to fraction form
   2,026.37/2,796.56 = 1,142.35/x
3. Step 3: Cross multiply
   2,026.37x = 2,796.56 × 1,142.35
4. Step 4: Simplify right side
   2,026.37x = 3,194,657.63
5. Step 5: Solve for x
   x = 3,194,657.63/2,026.37
6. Step 6: Final answer
   x = 1,576.54