Finding the Fourth Proportional to 12,784.77, 17,638.75 and 7,475.82

Step by Step Solution

1. Step 1: Write the proportion equation
   12,784.77 : 17,638.75 = 7,475.82 : x
2. Step 2: Convert to fraction form
   12,784.77/17,638.75 = 7,475.82/x
3. Step 3: Cross multiply
   12,784.77x = 17,638.75 × 7,475.82
4. Step 4: Simplify right side
   12,784.77x = 131,864,120.03
5. Step 5: Solve for x
   x = 131,864,120.03/12,784.77
6. Step 6: Final answer
   x = 10,314.16