Finding the Fourth Proportional to 10,591.46, 14,616.36 and 5,811.10

Step by Step Solution

1. Step 1: Write the proportion equation
   10,591.46 : 14,616.36 = 5,811.10 : x
2. Step 2: Convert to fraction form
   10,591.46/14,616.36 = 5,811.10/x
3. Step 3: Cross multiply
   10,591.46x = 14,616.36 × 5,811.10
4. Step 4: Simplify right side
   10,591.46x = 84,937,100.54
5. Step 5: Solve for x
   x = 84,937,100.54/10,591.46
6. Step 6: Final answer
   x = 8,019.39