Finding the Fourth Proportional to 9,462.09, 13,057.06 and 5,683.01

Step by Step Solution

1. Step 1: Write the proportion equation
   9,462.09 : 13,057.06 = 5,683.01 : x
2. Step 2: Convert to fraction form
   9,462.09/13,057.06 = 5,683.01/x
3. Step 3: Cross multiply
   9,462.09x = 13,057.06 × 5,683.01
4. Step 4: Simplify right side
   9,462.09x = 74,203,415.15
5. Step 5: Solve for x
   x = 74,203,415.15/9,462.09
6. Step 6: Final answer
   x = 7,842.18