Finding the Fourth Proportional to 3,914.82, 5,895.66 and 3,564.90

Step by Step Solution

1. Step 1: Write the proportion equation
   3,914.82 : 5,895.66 = 3,564.90 : x
2. Step 2: Convert to fraction form
   3,914.82/5,895.66 = 3,564.90/x
3. Step 3: Cross multiply
   3,914.82x = 5,895.66 × 3,564.90
4. Step 4: Simplify right side
   3,914.82x = 21,017,438.33
5. Step 5: Solve for x
   x = 21,017,438.33/3,914.82
6. Step 6: Final answer
   x = 5,368.69