Finding the Fourth Proportional to 9,290.86, 13,938.12 and 4,096.78

Step by Step Solution

1. Step 1: Write the proportion equation
   9,290.86 : 13,938.12 = 4,096.78 : x
2. Step 2: Convert to fraction form
   9,290.86/13,938.12 = 4,096.78/x
3. Step 3: Cross multiply
   9,290.86x = 13,938.12 × 4,096.78
4. Step 4: Simplify right side
   9,290.86x = 57,101,411.25
5. Step 5: Solve for x
   x = 57,101,411.25/9,290.86
6. Step 6: Final answer
   x = 6,145.98