Finding the Fourth Proportional to 10,489.61, 14,475.71 and 5,774.06

Step by Step Solution

1. Step 1: Write the proportion equation
   10,489.61 : 14,475.71 = 5,774.06 : x
2. Step 2: Convert to fraction form
   10,489.61/14,475.71 = 5,774.06/x
3. Step 3: Cross multiply
   10,489.61x = 14,475.71 × 5,774.06
4. Step 4: Simplify right side
   10,489.61x = 83,583,618.08
5. Step 5: Solve for x
   x = 83,583,618.08/10,489.61
6. Step 6: Final answer
   x = 7,968.23