Finding the Fourth Proportional to 10,194, 14,066.51 and 5,945.96

Step by Step Solution

1. Step 1: Write the proportion equation
   10,194 : 14,066.51 = 5,945.96 : x
2. Step 2: Convert to fraction form
   10,194/14,066.51 = 5,945.96/x
3. Step 3: Cross multiply
   10,194x = 14,066.51 × 5,945.96
4. Step 4: Simplify right side
   10,194x = 83,638,805.74
5. Step 5: Solve for x
   x = 83,638,805.74/10,194
6. Step 6: Final answer
   x = 8,204.71