Finding the Fourth Proportional to 10,185.77, 14,056.32 and 5,709.53

Step by Step Solution

1. Step 1: Write the proportion equation
   10,185.77 : 14,056.32 = 5,709.53 : x
2. Step 2: Convert to fraction form
   10,185.77/14,056.32 = 5,709.53/x
3. Step 3: Cross multiply
   10,185.77x = 14,056.32 × 5,709.53
4. Step 4: Simplify right side
   10,185.77x = 80,254,881.90
5. Step 5: Solve for x
   x = 80,254,881.90/10,185.77
6. Step 6: Final answer
   x = 7,879.12