Finding the Fourth Proportional to 10,955.84, 16,433.72 and 5,109.20

Step by Step Solution

1. Step 1: Write the proportion equation
   10,955.84 : 16,433.72 = 5,109.20 : x
2. Step 2: Convert to fraction form
   10,955.84/16,433.72 = 5,109.20/x
3. Step 3: Cross multiply
   10,955.84x = 16,433.72 × 5,109.20
4. Step 4: Simplify right side
   10,955.84x = 83,963,162.22
5. Step 5: Solve for x
   x = 83,963,162.22/10,955.84
6. Step 6: Final answer
   x = 7,663.78