Finding the Fourth Proportional to 3,892.60, 5,845.38 and 3,763

Step by Step Solution

1. Step 1: Write the proportion equation
   3,892.60 : 5,845.38 = 3,763 : x
2. Step 2: Convert to fraction form
   3,892.60/5,845.38 = 3,763/x
3. Step 3: Cross multiply
   3,892.60x = 5,845.38 × 3,763
4. Step 4: Simplify right side
   3,892.60x = 21,996,164.94
5. Step 5: Solve for x
   x = 21,996,164.94/3,892.60
6. Step 6: Final answer
   x = 5,650.76