Finding the Fourth Proportional to 10,491.64, 14,478.75 and 5,776.21

Step by Step Solution

1. Step 1: Write the proportion equation
   10,491.64 : 14,478.75 = 5,776.21 : x
2. Step 2: Convert to fraction form
   10,491.64/14,478.75 = 5,776.21/x
3. Step 3: Cross multiply
   10,491.64x = 14,478.75 × 5,776.21
4. Step 4: Simplify right side
   10,491.64x = 83,632,300.54
5. Step 5: Solve for x
   x = 83,632,300.54/10,491.64
6. Step 6: Final answer
   x = 7,971.33