Finding the Fourth Proportional to 10,193.01, 14,066.42 and 5,946.54

Step by Step Solution

1. Step 1: Write the proportion equation
   10,193.01 : 14,066.42 = 5,946.54 : x
2. Step 2: Convert to fraction form
   10,193.01/14,066.42 = 5,946.54/x
3. Step 3: Cross multiply
   10,193.01x = 14,066.42 × 5,946.54
4. Step 4: Simplify right side
   10,193.01x = 83,646,499.45
5. Step 5: Solve for x
   x = 83,646,499.45/10,193.01
6. Step 6: Final answer
   x = 8,206.26