Finding the Fourth Proportional to 10,502.53, 14,493.75 and 5,786.81

Step by Step Solution

1. Step 1: Write the proportion equation
   10,502.53 : 14,493.75 = 5,786.81 : x
2. Step 2: Convert to fraction form
   10,502.53/14,493.75 = 5,786.81/x
3. Step 3: Cross multiply
   10,502.53x = 14,493.75 × 5,786.81
4. Step 4: Simplify right side
   10,502.53x = 83,872,504.97
5. Step 5: Solve for x
   x = 83,872,504.97/10,502.53
6. Step 6: Final answer
   x = 7,985.94