Finding the Fourth Proportional to 10,450.86, 14,421.61 and 5,734.77

Step by Step Solution

1. Step 1: Write the proportion equation
   10,450.86 : 14,421.61 = 5,734.77 : x
2. Step 2: Convert to fraction form
   10,450.86/14,421.61 = 5,734.77/x
3. Step 3: Cross multiply
   10,450.86x = 14,421.61 × 5,734.77
4. Step 4: Simplify right side
   10,450.86x = 82,704,515.60
5. Step 5: Solve for x
   x = 82,704,515.60/10,450.86
6. Step 6: Final answer
   x = 7,913.66