Finding the Fourth Proportional to 9,513.12, 14,256.72 and 5,816.64

Step by Step Solution

1. Step 1: Write the proportion equation
   9,513.12 : 14,256.72 = 5,816.64 : x
2. Step 2: Convert to fraction form
   9,513.12/14,256.72 = 5,816.64/x
3. Step 3: Cross multiply
   9,513.12x = 14,256.72 × 5,816.64
4. Step 4: Simplify right side
   9,513.12x = 82,926,207.82
5. Step 5: Solve for x
   x = 82,926,207.82/9,513.12
6. Step 6: Final answer
   x = 8,717.04