Finding the Fourth Proportional to 12,684.29, 17,500.35 and 7,378.07

Step by Step Solution

1. Step 1: Write the proportion equation
   12,684.29 : 17,500.35 = 7,378.07 : x
2. Step 2: Convert to fraction form
   12,684.29/17,500.35 = 7,378.07/x
3. Step 3: Cross multiply
   12,684.29x = 17,500.35 × 7,378.07
4. Step 4: Simplify right side
   12,684.29x = 129,118,719.82
5. Step 5: Solve for x
   x = 129,118,719.82/12,684.29
6. Step 6: Final answer
   x = 10,179.42