Finding the Fourth Proportional to 10,502.15, 14,492.43 and 5,786.33

Step by Step Solution

1. Step 1: Write the proportion equation
   10,502.15 : 14,492.43 = 5,786.33 : x
2. Step 2: Convert to fraction form
   10,502.15/14,492.43 = 5,786.33/x
3. Step 3: Cross multiply
   10,502.15x = 14,492.43 × 5,786.33
4. Step 4: Simplify right side
   10,502.15x = 83,857,910.02
5. Step 5: Solve for x
   x = 83,857,910.02/10,502.15
6. Step 6: Final answer
   x = 7,984.84