Finding the Fourth Proportional to 10,983.59, 15,157.16 and 5,947.77

Step by Step Solution

1. Step 1: Write the proportion equation
   10,983.59 : 15,157.16 = 5,947.77 : x
2. Step 2: Convert to fraction form
   10,983.59/15,157.16 = 5,947.77/x
3. Step 3: Cross multiply
   10,983.59x = 15,157.16 × 5,947.77
4. Step 4: Simplify right side
   10,983.59x = 90,151,301.53
5. Step 5: Solve for x
   x = 90,151,301.53/10,983.59
6. Step 6: Final answer
   x = 8,207.82