Finding the Fourth Proportional to 3,892.53, 5,824.17 and 3,681.52

Step by Step Solution

1. Step 1: Write the proportion equation
   3,892.53 : 5,824.17 = 3,681.52 : x
2. Step 2: Convert to fraction form
   3,892.53/5,824.17 = 3,681.52/x
3. Step 3: Cross multiply
   3,892.53x = 5,824.17 × 3,681.52
4. Step 4: Simplify right side
   3,892.53x = 21,441,798.34
5. Step 5: Solve for x
   x = 21,441,798.34/3,892.53
6. Step 6: Final answer
   x = 5,508.45