Finding the Fourth Proportional to 10,489.89, 14,476.32 and 5,774.46

Step by Step Solution

1. Step 1: Write the proportion equation
   10,489.89 : 14,476.32 = 5,774.46 : x
2. Step 2: Convert to fraction form
   10,489.89/14,476.32 = 5,774.46/x
3. Step 3: Cross multiply
   10,489.89x = 14,476.32 × 5,774.46
4. Step 4: Simplify right side
   10,489.89x = 83,592,930.79
5. Step 5: Solve for x
   x = 83,592,930.79/10,489.89
6. Step 6: Final answer
   x = 7,968.90