Finding the Fourth Proportional to 2,026.23, 2,795.96 and 1,142.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,026.23 : 2,795.96 = 1,142.06 : x
2. Step 2: Convert to fraction form
   2,026.23/2,795.96 = 1,142.06/x
3. Step 3: Cross multiply
   2,026.23x = 2,795.96 × 1,142.06
4. Step 4: Simplify right side
   2,026.23x = 3,193,134.39
5. Step 5: Solve for x
   x = 3,193,134.39/2,026.23
6. Step 6: Final answer
   x = 1,575.90