Finding the Fourth Proportional to 3,892.31, 5,810.75 and 3,755.62

Step by Step Solution

1. Step 1: Write the proportion equation
   3,892.31 : 5,810.75 = 3,755.62 : x
2. Step 2: Convert to fraction form
   3,892.31/5,810.75 = 3,755.62/x
3. Step 3: Cross multiply
   3,892.31x = 5,810.75 × 3,755.62
4. Step 4: Simplify right side
   3,892.31x = 21,822,968.92
5. Step 5: Solve for x
   x = 21,822,968.92/3,892.31
6. Step 6: Final answer
   x = 5,606.69