Finding the Fourth Proportional to 5,683.89, 7,828.59 and 4,938.69

Step by Step Solution

1. Step 1: Write the proportion equation
   5,683.89 : 7,828.59 = 4,938.69 : x
2. Step 2: Convert to fraction form
   5,683.89/7,828.59 = 4,938.69/x
3. Step 3: Cross multiply
   5,683.89x = 7,828.59 × 4,938.69
4. Step 4: Simplify right side
   5,683.89x = 38,662,979.15
5. Step 5: Solve for x
   x = 38,662,979.15/5,683.89
6. Step 6: Final answer
   x = 6,802.20