Finding the Fourth Proportional to 28,256, 42,391.56 and 9,788

Step by Step Solution

1. Step 1: Write the proportion equation
   28,256 : 42,391.56 = 9,788 : x
2. Step 2: Convert to fraction form
   28,256/42,391.56 = 9,788/x
3. Step 3: Cross multiply
   28,256x = 42,391.56 × 9,788
4. Step 4: Simplify right side
   28,256x = 414,928,589.28
5. Step 5: Solve for x
   x = 414,928,589.28/28,256
6. Step 6: Final answer
   x = 14,684.62