Finding the Fourth Proportional to 9,914.08, 13,682.16 and 5,665.05

Step by Step Solution

1. Step 1: Write the proportion equation
   9,914.08 : 13,682.16 = 5,665.05 : x
2. Step 2: Convert to fraction form
   9,914.08/13,682.16 = 5,665.05/x
3. Step 3: Cross multiply
   9,914.08x = 13,682.16 × 5,665.05
4. Step 4: Simplify right side
   9,914.08x = 77,510,023.77
5. Step 5: Solve for x
   x = 77,510,023.77/9,914.08
6. Step 6: Final answer
   x = 7,818.18