Finding the Fourth Proportional to 10,491.14, 14,478.06 and 5,775.71

Step by Step Solution

1. Step 1: Write the proportion equation
   10,491.14 : 14,478.06 = 5,775.71 : x
2. Step 2: Convert to fraction form
   10,491.14/14,478.06 = 5,775.71/x
3. Step 3: Cross multiply
   10,491.14x = 14,478.06 × 5,775.71
4. Step 4: Simplify right side
   10,491.14x = 83,621,075.92
5. Step 5: Solve for x
   x = 83,621,075.92/10,491.14
6. Step 6: Final answer
   x = 7,970.64