Finding the Fourth Proportional to 10,501.92, 14,492.70 and 5,786.19

Step by Step Solution

1. Step 1: Write the proportion equation
   10,501.92 : 14,492.70 = 5,786.19 : x
2. Step 2: Convert to fraction form
   10,501.92/14,492.70 = 5,786.19/x
3. Step 3: Cross multiply
   10,501.92x = 14,492.70 × 5,786.19
4. Step 4: Simplify right side
   10,501.92x = 83,857,515.81
5. Step 5: Solve for x
   x = 83,857,515.81/10,501.92
6. Step 6: Final answer
   x = 7,984.97