Finding the Fourth Proportional to 9,406.93, 14,109.24 and 5,460.34

Step by Step Solution

1. Step 1: Write the proportion equation
   9,406.93 : 14,109.24 = 5,460.34 : x
2. Step 2: Convert to fraction form
   9,406.93/14,109.24 = 5,460.34/x
3. Step 3: Cross multiply
   9,406.93x = 14,109.24 × 5,460.34
4. Step 4: Simplify right side
   9,406.93x = 77,041,149.69
5. Step 5: Solve for x
   x = 77,041,149.69/9,406.93
6. Step 6: Final answer
   x = 8,189.83