Finding the Fourth Proportional to 9,459.99, 13,055.78 and 5,684.38

Step by Step Solution

1. Step 1: Write the proportion equation
   9,459.99 : 13,055.78 = 5,684.38 : x
2. Step 2: Convert to fraction form
   9,459.99/13,055.78 = 5,684.38/x
3. Step 3: Cross multiply
   9,459.99x = 13,055.78 × 5,684.38
4. Step 4: Simplify right side
   9,459.99x = 74,213,996.29
5. Step 5: Solve for x
   x = 74,213,996.29/9,459.99
6. Step 6: Final answer
   x = 7,845.04