Finding the Fourth Proportional to 10,926.09, 16,383.06 and 5,077.08

Step by Step Solution

1. Step 1: Write the proportion equation
   10,926.09 : 16,383.06 = 5,077.08 : x
2. Step 2: Convert to fraction form
   10,926.09/16,383.06 = 5,077.08/x
3. Step 3: Cross multiply
   10,926.09x = 16,383.06 × 5,077.08
4. Step 4: Simplify right side
   10,926.09x = 83,178,106.26
5. Step 5: Solve for x
   x = 83,178,106.26/10,926.09
6. Step 6: Final answer
   x = 7,612.80