Finding the Fourth Proportional to 10,096.89, 13,934.16 and 5,848.13

Step by Step Solution

1. Step 1: Write the proportion equation
   10,096.89 : 13,934.16 = 5,848.13 : x
2. Step 2: Convert to fraction form
   10,096.89/13,934.16 = 5,848.13/x
3. Step 3: Cross multiply
   10,096.89x = 13,934.16 × 5,848.13
4. Step 4: Simplify right side
   10,096.89x = 81,488,813.96
5. Step 5: Solve for x
   x = 81,488,813.96/10,096.89
6. Step 6: Final answer
   x = 8,070.69