Finding the Fourth Proportional to 9,767.24, 13,478.85 and 5,460.33

Step by Step Solution

1. Step 1: Write the proportion equation
   9,767.24 : 13,478.85 = 5,460.33 : x
2. Step 2: Convert to fraction form
   9,767.24/13,478.85 = 5,460.33/x
3. Step 3: Cross multiply
   9,767.24x = 13,478.85 × 5,460.33
4. Step 4: Simplify right side
   9,767.24x = 73,598,969.02
5. Step 5: Solve for x
   x = 73,598,969.02/9,767.24
6. Step 6: Final answer
   x = 7,535.29