Finding the Fourth Proportional to 6,942.96, 10,407.15 and 5,295.83

Step by Step Solution

1. Step 1: Write the proportion equation
   6,942.96 : 10,407.15 = 5,295.83 : x
2. Step 2: Convert to fraction form
   6,942.96/10,407.15 = 5,295.83/x
3. Step 3: Cross multiply
   6,942.96x = 10,407.15 × 5,295.83
4. Step 4: Simplify right side
   6,942.96x = 55,114,445.15
5. Step 5: Solve for x
   x = 55,114,445.15/6,942.96
6. Step 6: Final answer
   x = 7,938.18