Finding the Fourth Proportional to 10,914.84, 16,377.12 and 5,719.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,914.84 : 16,377.12 = 5,719.50 : x
2. Step 2: Convert to fraction form
   10,914.84/16,377.12 = 5,719.50/x
3. Step 3: Cross multiply
   10,914.84x = 16,377.12 × 5,719.50
4. Step 4: Simplify right side
   10,914.84x = 93,668,937.84
5. Step 5: Solve for x
   x = 93,668,937.84/10,914.84
6. Step 6: Final answer
   x = 8,581.80