Finding the Fourth Proportional to 14,089.50, 21,141.54 and 7,164

Step by Step Solution

1. Step 1: Write the proportion equation
   14,089.50 : 21,141.54 = 7,164 : x
2. Step 2: Convert to fraction form
   14,089.50/21,141.54 = 7,164/x
3. Step 3: Cross multiply
   14,089.50x = 21,141.54 × 7,164
4. Step 4: Simplify right side
   14,089.50x = 151,457,992.56
5. Step 5: Solve for x
   x = 151,457,992.56/14,089.50
6. Step 6: Final answer
   x = 10,749.71