Finding the Fourth Proportional to 10,491.50, 14,478.28 and 5,776.14

Step by Step Solution

1. Step 1: Write the proportion equation
   10,491.50 : 14,478.28 = 5,776.14 : x
2. Step 2: Convert to fraction form
   10,491.50/14,478.28 = 5,776.14/x
3. Step 3: Cross multiply
   10,491.50x = 14,478.28 × 5,776.14
4. Step 4: Simplify right side
   10,491.50x = 83,628,572.24
5. Step 5: Solve for x
   x = 83,628,572.24/10,491.50
6. Step 6: Final answer
   x = 7,971.08