Finding the Fourth Proportional to 5,185.91, 7,767.32 and 2,583.38

Step by Step Solution

1. Step 1: Write the proportion equation
   5,185.91 : 7,767.32 = 2,583.38 : x
2. Step 2: Convert to fraction form
   5,185.91/7,767.32 = 2,583.38/x
3. Step 3: Cross multiply
   5,185.91x = 7,767.32 × 2,583.38
4. Step 4: Simplify right side
   5,185.91x = 20,065,887.39
5. Step 5: Solve for x
   x = 20,065,887.39/5,185.91
6. Step 6: Final answer
   x = 3,869.31