Finding the Fourth Proportional to 10,917.64, 16,379.92 and 3,897.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,917.64 : 16,379.92 = 3,897.50 : x
2. Step 2: Convert to fraction form
   10,917.64/16,379.92 = 3,897.50/x
3. Step 3: Cross multiply
   10,917.64x = 16,379.92 × 3,897.50
4. Step 4: Simplify right side
   10,917.64x = 63,840,646.56
5. Step 5: Solve for x
   x = 63,840,646.56/10,917.64
6. Step 6: Final answer
   x = 5,847.48