Finding the Fourth Proportional to 14,082.86, 19,434.06 and 7,709.30

Step by Step Solution

1. Step 1: Write the proportion equation
   14,082.86 : 19,434.06 = 7,709.30 : x
2. Step 2: Convert to fraction form
   14,082.86/19,434.06 = 7,709.30/x
3. Step 3: Cross multiply
   14,082.86x = 19,434.06 × 7,709.30
4. Step 4: Simplify right side
   14,082.86x = 149,822,974.47
5. Step 5: Solve for x
   x = 149,822,974.47/14,082.86
6. Step 6: Final answer
   x = 10,638.67