Finding the Fourth Proportional to 10,099.63, 13,938.56 and 5,911.39

Step by Step Solution

1. Step 1: Write the proportion equation
   10,099.63 : 13,938.56 = 5,911.39 : x
2. Step 2: Convert to fraction form
   10,099.63/13,938.56 = 5,911.39/x
3. Step 3: Cross multiply
   10,099.63x = 13,938.56 × 5,911.39
4. Step 4: Simplify right side
   10,099.63x = 82,396,264.20
5. Step 5: Solve for x
   x = 82,396,264.20/10,099.63
6. Step 6: Final answer
   x = 8,158.34