Finding the Fourth Proportional to 10,501.75, 14,492.39 and 5,786.03

Step by Step Solution

1. Step 1: Write the proportion equation
   10,501.75 : 14,492.39 = 5,786.03 : x
2. Step 2: Convert to fraction form
   10,501.75/14,492.39 = 5,786.03/x
3. Step 3: Cross multiply
   10,501.75x = 14,492.39 × 5,786.03
4. Step 4: Simplify right side
   10,501.75x = 83,853,410.61
5. Step 5: Solve for x
   x = 83,853,410.61/10,501.75
6. Step 6: Final answer
   x = 7,984.71