Finding the Fourth Proportional to 12,778.88, 17,633.76 and 7,473.12

Step by Step Solution

1. Step 1: Write the proportion equation
   12,778.88 : 17,633.76 = 7,473.12 : x
2. Step 2: Convert to fraction form
   12,778.88/17,633.76 = 7,473.12/x
3. Step 3: Cross multiply
   12,778.88x = 17,633.76 × 7,473.12
4. Step 4: Simplify right side
   12,778.88x = 131,779,204.53
5. Step 5: Solve for x
   x = 131,779,204.53/12,778.88
6. Step 6: Final answer
   x = 10,312.27