Finding the Fourth Proportional to 9,927.50, 14,889.71 and 3,686.64

Step by Step Solution

1. Step 1: Write the proportion equation
   9,927.50 : 14,889.71 = 3,686.64 : x
2. Step 2: Convert to fraction form
   9,927.50/14,889.71 = 3,686.64/x
3. Step 3: Cross multiply
   9,927.50x = 14,889.71 × 3,686.64
4. Step 4: Simplify right side
   9,927.50x = 54,892,982.04
5. Step 5: Solve for x
   x = 54,892,982.04/9,927.50
6. Step 6: Final answer
   x = 5,529.39