Finding the Fourth Proportional to 10,096.56, 13,934.16 and 5,848.80

Step by Step Solution

1. Step 1: Write the proportion equation
   10,096.56 : 13,934.16 = 5,848.80 : x
2. Step 2: Convert to fraction form
   10,096.56/13,934.16 = 5,848.80/x
3. Step 3: Cross multiply
   10,096.56x = 13,934.16 × 5,848.80
4. Step 4: Simplify right side
   10,096.56x = 81,498,115.01
5. Step 5: Solve for x
   x = 81,498,115.01/10,096.56
6. Step 6: Final answer
   x = 8,071.87