Finding the Fourth Proportional to 10,971.57, 15,140.78 and 5,935.77

Step by Step Solution

1. Step 1: Write the proportion equation
   10,971.57 : 15,140.78 = 5,935.77 : x
2. Step 2: Convert to fraction form
   10,971.57/15,140.78 = 5,935.77/x
3. Step 3: Cross multiply
   10,971.57x = 15,140.78 × 5,935.77
4. Step 4: Simplify right side
   10,971.57x = 89,872,158.02
5. Step 5: Solve for x
   x = 89,872,158.02/10,971.57
6. Step 6: Final answer
   x = 8,191.37