Finding the Fourth Proportional to 28,297.50, 42,465.69 and 9,829.50

Step by Step Solution

1. Step 1: Write the proportion equation
   28,297.50 : 42,465.69 = 9,829.50 : x
2. Step 2: Convert to fraction form
   28,297.50/42,465.69 = 9,829.50/x
3. Step 3: Cross multiply
   28,297.50x = 42,465.69 × 9,829.50
4. Step 4: Simplify right side
   28,297.50x = 417,416,499.86
5. Step 5: Solve for x
   x = 417,416,499.86/28,297.50
6. Step 6: Final answer
   x = 14,751.00