Finding the Fourth Proportional to 10,636, 14,677.68 and 5,920.59

Step by Step Solution

1. Step 1: Write the proportion equation
   10,636 : 14,677.68 = 5,920.59 : x
2. Step 2: Convert to fraction form
   10,636/14,677.68 = 5,920.59/x
3. Step 3: Cross multiply
   10,636x = 14,677.68 × 5,920.59
4. Step 4: Simplify right side
   10,636x = 86,900,525.43
5. Step 5: Solve for x
   x = 86,900,525.43/10,636
6. Step 6: Final answer
   x = 8,170.41