Finding the Fourth Proportional to 9,513.38, 13,128.50 and 5,321.63

Step by Step Solution

1. Step 1: Write the proportion equation
   9,513.38 : 13,128.50 = 5,321.63 : x
2. Step 2: Convert to fraction form
   9,513.38/13,128.50 = 5,321.63/x
3. Step 3: Cross multiply
   9,513.38x = 13,128.50 × 5,321.63
4. Step 4: Simplify right side
   9,513.38x = 69,864,967.12
5. Step 5: Solve for x
   x = 69,864,967.12/9,513.38
6. Step 6: Final answer
   x = 7,343.87