Finding the Fourth Proportional to 10,185.84, 14,056.02 and 5,709.60

Step by Step Solution

1. Step 1: Write the proportion equation
   10,185.84 : 14,056.02 = 5,709.60 : x
2. Step 2: Convert to fraction form
   10,185.84/14,056.02 = 5,709.60/x
3. Step 3: Cross multiply
   10,185.84x = 14,056.02 × 5,709.60
4. Step 4: Simplify right side
   10,185.84x = 80,254,251.79
5. Step 5: Solve for x
   x = 80,254,251.79/10,185.84
6. Step 6: Final answer
   x = 7,879.00