Finding the Fourth Proportional to 12,878.50, 17,770.29 and 7,501.82

Step by Step Solution

1. Step 1: Write the proportion equation
   12,878.50 : 17,770.29 = 7,501.82 : x
2. Step 2: Convert to fraction form
   12,878.50/17,770.29 = 7,501.82/x
3. Step 3: Cross multiply
   12,878.50x = 17,770.29 × 7,501.82
4. Step 4: Simplify right side
   12,878.50x = 133,309,561.35
5. Step 5: Solve for x
   x = 133,309,561.35/12,878.50
6. Step 6: Final answer
   x = 10,351.33