Finding the Fourth Proportional to 10,099.89, 13,932.63 and 5,905.71

Step by Step Solution

1. Step 1: Write the proportion equation
   10,099.89 : 13,932.63 = 5,905.71 : x
2. Step 2: Convert to fraction form
   10,099.89/13,932.63 = 5,905.71/x
3. Step 3: Cross multiply
   10,099.89x = 13,932.63 × 5,905.71
4. Step 4: Simplify right side
   10,099.89x = 82,282,072.32
5. Step 5: Solve for x
   x = 82,282,072.32/10,099.89
6. Step 6: Final answer
   x = 8,146.83