Finding the Fourth Proportional to 10,491.50, 14,478.27 and 5,776.13

Step by Step Solution

1. Step 1: Write the proportion equation
   10,491.50 : 14,478.27 = 5,776.13 : x
2. Step 2: Convert to fraction form
   10,491.50/14,478.27 = 5,776.13/x
3. Step 3: Cross multiply
   10,491.50x = 14,478.27 × 5,776.13
4. Step 4: Simplify right side
   10,491.50x = 83,628,369.70
5. Step 5: Solve for x
   x = 83,628,369.70/10,491.50
6. Step 6: Final answer
   x = 7,971.06