Finding the Fourth Proportional to 14,194.81, 19,588.86 and 7,734.42

Step by Step Solution

1. Step 1: Write the proportion equation
   14,194.81 : 19,588.86 = 7,734.42 : x
2. Step 2: Convert to fraction form
   14,194.81/19,588.86 = 7,734.42/x
3. Step 3: Cross multiply
   14,194.81x = 19,588.86 × 7,734.42
4. Step 4: Simplify right side
   14,194.81x = 151,508,470.56
5. Step 5: Solve for x
   x = 151,508,470.56/14,194.81
6. Step 6: Final answer
   x = 10,673.51