Finding the Fourth Proportional to 10,954.56, 16,426.50 and 5,406.06

Step by Step Solution

1. Step 1: Write the proportion equation
   10,954.56 : 16,426.50 = 5,406.06 : x
2. Step 2: Convert to fraction form
   10,954.56/16,426.50 = 5,406.06/x
3. Step 3: Cross multiply
   10,954.56x = 16,426.50 × 5,406.06
4. Step 4: Simplify right side
   10,954.56x = 88,802,644.59
5. Step 5: Solve for x
   x = 88,802,644.59/10,954.56
6. Step 6: Final answer
   x = 8,106.45