Finding the Fourth Proportional to 9,783.63, 13,501.40 and 5,307.38

Step by Step Solution

1. Step 1: Write the proportion equation
   9,783.63 : 13,501.40 = 5,307.38 : x
2. Step 2: Convert to fraction form
   9,783.63/13,501.40 = 5,307.38/x
3. Step 3: Cross multiply
   9,783.63x = 13,501.40 × 5,307.38
4. Step 4: Simplify right side
   9,783.63x = 71,656,966.29
5. Step 5: Solve for x
   x = 71,656,966.29/9,783.63
6. Step 6: Final answer
   x = 7,324.17