Finding the Fourth Proportional to 3,757.82, 5,635.38 and 1,292

Step by Step Solution

1. Step 1: Write the proportion equation
   3,757.82 : 5,635.38 = 1,292 : x
2. Step 2: Convert to fraction form
   3,757.82/5,635.38 = 1,292/x
3. Step 3: Cross multiply
   3,757.82x = 5,635.38 × 1,292
4. Step 4: Simplify right side
   3,757.82x = 7,280,910.96
5. Step 5: Solve for x
   x = 7,280,910.96/3,757.82
6. Step 6: Final answer
   x = 1,937.54