Finding the Fourth Proportional to 10,279.60, 14,185.76 and 5,563.84

Step by Step Solution

1. Step 1: Write the proportion equation
   10,279.60 : 14,185.76 = 5,563.84 : x
2. Step 2: Convert to fraction form
   10,279.60/14,185.76 = 5,563.84/x
3. Step 3: Cross multiply
   10,279.60x = 14,185.76 × 5,563.84
4. Step 4: Simplify right side
   10,279.60x = 78,927,298.92
5. Step 5: Solve for x
   x = 78,927,298.92/10,279.60
6. Step 6: Final answer
   x = 7,678.05