Finding the Fourth Proportional to 10,350.86, 14,284.28 and 5,635.13

Step by Step Solution

1. Step 1: Write the proportion equation
   10,350.86 : 14,284.28 = 5,635.13 : x
2. Step 2: Convert to fraction form
   10,350.86/14,284.28 = 5,635.13/x
3. Step 3: Cross multiply
   10,350.86x = 14,284.28 × 5,635.13
4. Step 4: Simplify right side
   10,350.86x = 80,493,774.76
5. Step 5: Solve for x
   x = 80,493,774.76/10,350.86
6. Step 6: Final answer
   x = 7,776.53