Finding the Fourth Proportional to 9,645.72, 13,312.74 and 5,614.88

Step by Step Solution

1. Step 1: Write the proportion equation
   9,645.72 : 13,312.74 = 5,614.88 : x
2. Step 2: Convert to fraction form
   9,645.72/13,312.74 = 5,614.88/x
3. Step 3: Cross multiply
   9,645.72x = 13,312.74 × 5,614.88
4. Step 4: Simplify right side
   9,645.72x = 74,749,371.01
5. Step 5: Solve for x
   x = 74,749,371.01/9,645.72
6. Step 6: Final answer
   x = 7,749.49