Finding the Fourth Proportional to 10,501.96, 14,492.52 and 5,786.20

Step by Step Solution

1. Step 1: Write the proportion equation
   10,501.96 : 14,492.52 = 5,786.20 : x
2. Step 2: Convert to fraction form
   10,501.96/14,492.52 = 5,786.20/x
3. Step 3: Cross multiply
   10,501.96x = 14,492.52 × 5,786.20
4. Step 4: Simplify right side
   10,501.96x = 83,856,619.22
5. Step 5: Solve for x
   x = 83,856,619.22/10,501.96
6. Step 6: Final answer
   x = 7,984.85