Finding the Fourth Proportional to 5,722.81, 7,838.30 and 5,386.57

Step by Step Solution

1. Step 1: Write the proportion equation
   5,722.81 : 7,838.30 = 5,386.57 : x
2. Step 2: Convert to fraction form
   5,722.81/7,838.30 = 5,386.57/x
3. Step 3: Cross multiply
   5,722.81x = 7,838.30 × 5,386.57
4. Step 4: Simplify right side
   5,722.81x = 42,221,545.50
5. Step 5: Solve for x
   x = 42,221,545.50/5,722.81
6. Step 6: Final answer
   x = 7,377.77