Finding the Fourth Proportional to 10,194.86, 14,069.30 and 5,945.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,194.86 : 14,069.30 = 5,945.25 : x
2. Step 2: Convert to fraction form
   10,194.86/14,069.30 = 5,945.25/x
3. Step 3: Cross multiply
   10,194.86x = 14,069.30 × 5,945.25
4. Step 4: Simplify right side
   10,194.86x = 83,645,476.10
5. Step 5: Solve for x
   x = 83,645,476.10/10,194.86
6. Step 6: Final answer
   x = 8,204.67