Finding the Fourth Proportional to 10,554.28, 14,564.63 and 5,774.24

Step by Step Solution

1. Step 1: Write the proportion equation
   10,554.28 : 14,564.63 = 5,774.24 : x
2. Step 2: Convert to fraction form
   10,554.28/14,564.63 = 5,774.24/x
3. Step 3: Cross multiply
   10,554.28x = 14,564.63 × 5,774.24
4. Step 4: Simplify right side
   10,554.28x = 84,099,719.98
5. Step 5: Solve for x
   x = 84,099,719.98/10,554.28
6. Step 6: Final answer
   x = 7,968.31