Finding the Fourth Proportional to 10,635.42, 14,677.74 and 5,920.05

Step by Step Solution

1. Step 1: Write the proportion equation
   10,635.42 : 14,677.74 = 5,920.05 : x
2. Step 2: Convert to fraction form
   10,635.42/14,677.74 = 5,920.05/x
3. Step 3: Cross multiply
   10,635.42x = 14,677.74 × 5,920.05
4. Step 4: Simplify right side
   10,635.42x = 86,892,954.69
5. Step 5: Solve for x
   x = 86,892,954.69/10,635.42
6. Step 6: Final answer
   x = 8,170.15