Finding the Fourth Proportional to 14,077.17, 19,426.68 and 7,789.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,077.17 : 19,426.68 = 7,789.50 : x
2. Step 2: Convert to fraction form
   14,077.17/19,426.68 = 7,789.50/x
3. Step 3: Cross multiply
   14,077.17x = 19,426.68 × 7,789.50
4. Step 4: Simplify right side
   14,077.17x = 151,324,123.86
5. Step 5: Solve for x
   x = 151,324,123.86/14,077.17
6. Step 6: Final answer
   x = 10,749.61