Finding the Fourth Proportional to 9,589.36, 14,377.83 and 3,746.56

Step by Step Solution

1. Step 1: Write the proportion equation
   9,589.36 : 14,377.83 = 3,746.56 : x
2. Step 2: Convert to fraction form
   9,589.36/14,377.83 = 3,746.56/x
3. Step 3: Cross multiply
   9,589.36x = 14,377.83 × 3,746.56
4. Step 4: Simplify right side
   9,589.36x = 53,867,402.76
5. Step 5: Solve for x
   x = 53,867,402.76/9,589.36
6. Step 6: Final answer
   x = 5,617.41