Finding the Fourth Proportional to 9,783.98, 13,501.75 and 5,307.61

Step by Step Solution

1. Step 1: Write the proportion equation
   9,783.98 : 13,501.75 = 5,307.61 : x
2. Step 2: Convert to fraction form
   9,783.98/13,501.75 = 5,307.61/x
3. Step 3: Cross multiply
   9,783.98x = 13,501.75 × 5,307.61
4. Step 4: Simplify right side
   9,783.98x = 71,662,023.32
5. Step 5: Solve for x
   x = 71,662,023.32/9,783.98
6. Step 6: Final answer
   x = 7,324.42