Finding the Fourth Proportional to 9,889.87, 14,826.27 and 3,646.67

Step by Step Solution

1. Step 1: Write the proportion equation
   9,889.87 : 14,826.27 = 3,646.67 : x
2. Step 2: Convert to fraction form
   9,889.87/14,826.27 = 3,646.67/x
3. Step 3: Cross multiply
   9,889.87x = 14,826.27 × 3,646.67
4. Step 4: Simplify right side
   9,889.87x = 54,066,506.19
5. Step 5: Solve for x
   x = 54,066,506.19/9,889.87
6. Step 6: Final answer
   x = 5,466.86