Finding the Fourth Proportional to 10,669.20, 15,994.56 and 5,733.06

Step by Step Solution

1. Step 1: Write the proportion equation
   10,669.20 : 15,994.56 = 5,733.06 : x
2. Step 2: Convert to fraction form
   10,669.20/15,994.56 = 5,733.06/x
3. Step 3: Cross multiply
   10,669.20x = 15,994.56 × 5,733.06
4. Step 4: Simplify right side
   10,669.20x = 91,697,823.64
5. Step 5: Solve for x
   x = 91,697,823.64/10,669.20
6. Step 6: Final answer
   x = 8,594.63