Finding the Fourth Proportional to 10,489.72, 14,475.72 and 5,774

Step by Step Solution

1. Step 1: Write the proportion equation
   10,489.72 : 14,475.72 = 5,774 : x
2. Step 2: Convert to fraction form
   10,489.72/14,475.72 = 5,774/x
3. Step 3: Cross multiply
   10,489.72x = 14,475.72 × 5,774
4. Step 4: Simplify right side
   10,489.72x = 83,582,807.28
5. Step 5: Solve for x
   x = 83,582,807.28/10,489.72
6. Step 6: Final answer
   x = 7,968.07