Finding the Fourth Proportional to 3,892.41, 5,799.29 and 3,706.65

Step by Step Solution

1. Step 1: Write the proportion equation
   3,892.41 : 5,799.29 = 3,706.65 : x
2. Step 2: Convert to fraction form
   3,892.41/5,799.29 = 3,706.65/x
3. Step 3: Cross multiply
   3,892.41x = 5,799.29 × 3,706.65
4. Step 4: Simplify right side
   3,892.41x = 21,495,919.75
5. Step 5: Solve for x
   x = 21,495,919.75/3,892.41
6. Step 6: Final answer
   x = 5,522.52