Finding the Fourth Proportional to 10,501.88, 14,492.60 and 5,786.27

Step by Step Solution

1. Step 1: Write the proportion equation
   10,501.88 : 14,492.60 = 5,786.27 : x
2. Step 2: Convert to fraction form
   10,501.88/14,492.60 = 5,786.27/x
3. Step 3: Cross multiply
   10,501.88x = 14,492.60 × 5,786.27
4. Step 4: Simplify right side
   10,501.88x = 83,857,995.21
5. Step 5: Solve for x
   x = 83,857,995.21/10,501.88
6. Step 6: Final answer
   x = 7,985.05