Finding the Fourth Proportional to 9,784.06, 13,501.92 and 5,307.80

Step by Step Solution

1. Step 1: Write the proportion equation
   9,784.06 : 13,501.92 = 5,307.80 : x
2. Step 2: Convert to fraction form
   9,784.06/13,501.92 = 5,307.80/x
3. Step 3: Cross multiply
   9,784.06x = 13,501.92 × 5,307.80
4. Step 4: Simplify right side
   9,784.06x = 71,665,443.37
5. Step 5: Solve for x
   x = 71,665,443.37/9,784.06
6. Step 6: Final answer
   x = 7,324.72