Finding the Fourth Proportional to 10,502.63, 14,493.67 and 5,786.81

Step by Step Solution

1. Step 1: Write the proportion equation
   10,502.63 : 14,493.67 = 5,786.81 : x
2. Step 2: Convert to fraction form
   10,502.63/14,493.67 = 5,786.81/x
3. Step 3: Cross multiply
   10,502.63x = 14,493.67 × 5,786.81
4. Step 4: Simplify right side
   10,502.63x = 83,872,027.56
5. Step 5: Solve for x
   x = 83,872,027.56/10,502.63
6. Step 6: Final answer
   x = 7,985.82