Finding the Fourth Proportional to 10,635.96, 14,677.52 and 5,920.14

Step by Step Solution

1. Step 1: Write the proportion equation
   10,635.96 : 14,677.52 = 5,920.14 : x
2. Step 2: Convert to fraction form
   10,635.96/14,677.52 = 5,920.14/x
3. Step 3: Cross multiply
   10,635.96x = 14,677.52 × 5,920.14
4. Step 4: Simplify right side
   10,635.96x = 86,892,973.25
5. Step 5: Solve for x
   x = 86,892,973.25/10,635.96
6. Step 6: Final answer
   x = 8,169.73