Finding the Fourth Proportional to 10,191.97, 14,064.74 and 5,945.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,191.97 : 14,064.74 = 5,945.50 : x
2. Step 2: Convert to fraction form
   10,191.97/14,064.74 = 5,945.50/x
3. Step 3: Cross multiply
   10,191.97x = 14,064.74 × 5,945.50
4. Step 4: Simplify right side
   10,191.97x = 83,621,841.35
5. Step 5: Solve for x
   x = 83,621,841.35/10,191.97
6. Step 6: Final answer
   x = 8,204.68