Finding the Fourth Proportional to 12,784.50, 17,642.61 and 7,477.38

Step by Step Solution

1. Step 1: Write the proportion equation
   12,784.50 : 17,642.61 = 7,477.38 : x
2. Step 2: Convert to fraction form
   12,784.50/17,642.61 = 7,477.38/x
3. Step 3: Cross multiply
   12,784.50x = 17,642.61 × 7,477.38
4. Step 4: Simplify right side
   12,784.50x = 131,920,499.16
5. Step 5: Solve for x
   x = 131,920,499.16/12,784.50
6. Step 6: Final answer
   x = 10,318.78