Finding the Fourth Proportional to 10,491.74, 14,478.56 and 5,776.02

Step by Step Solution

1. Step 1: Write the proportion equation
   10,491.74 : 14,478.56 = 5,776.02 : x
2. Step 2: Convert to fraction form
   10,491.74/14,478.56 = 5,776.02/x
3. Step 3: Cross multiply
   10,491.74x = 14,478.56 × 5,776.02
4. Step 4: Simplify right side
   10,491.74x = 83,628,423.25
5. Step 5: Solve for x
   x = 83,628,423.25/10,491.74
6. Step 6: Final answer
   x = 7,970.89