Finding the Fourth Proportional to 10,097.13, 13,936.05 and 5,848.89

Step by Step Solution

1. Step 1: Write the proportion equation
   10,097.13 : 13,936.05 = 5,848.89 : x
2. Step 2: Convert to fraction form
   10,097.13/13,936.05 = 5,848.89/x
3. Step 3: Cross multiply
   10,097.13x = 13,936.05 × 5,848.89
4. Step 4: Simplify right side
   10,097.13x = 81,510,423.48
5. Step 5: Solve for x
   x = 81,510,423.48/10,097.13
6. Step 6: Final answer
   x = 8,072.63