Finding the Fourth Proportional to 10,096.43, 13,923.41 and 7,702.15

Step by Step Solution

1. Step 1: Write the proportion equation
   10,096.43 : 13,923.41 = 7,702.15 : x
2. Step 2: Convert to fraction form
   10,096.43/13,923.41 = 7,702.15/x
3. Step 3: Cross multiply
   10,096.43x = 13,923.41 × 7,702.15
4. Step 4: Simplify right side
   10,096.43x = 107,240,192.33
5. Step 5: Solve for x
   x = 107,240,192.33/10,096.43
6. Step 6: Final answer
   x = 10,621.60