Finding the Fourth Proportional to 2,026.62, 2,796.67 and 1,142.40

Step by Step Solution

1. Step 1: Write the proportion equation
   2,026.62 : 2,796.67 = 1,142.40 : x
2. Step 2: Convert to fraction form
   2,026.62/2,796.67 = 1,142.40/x
3. Step 3: Cross multiply
   2,026.62x = 2,796.67 × 1,142.40
4. Step 4: Simplify right side
   2,026.62x = 3,194,915.81
5. Step 5: Solve for x
   x = 3,194,915.81/2,026.62
6. Step 6: Final answer
   x = 1,576.48