Finding the Fourth Proportional to 14,188.06, 19,579.56 and 7,814.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,188.06 : 19,579.56 = 7,814.50 : x
2. Step 2: Convert to fraction form
   14,188.06/19,579.56 = 7,814.50/x
3. Step 3: Cross multiply
   14,188.06x = 19,579.56 × 7,814.50
4. Step 4: Simplify right side
   14,188.06x = 153,004,471.62
5. Step 5: Solve for x
   x = 153,004,471.62/14,188.06
6. Step 6: Final answer
   x = 10,784.03