Finding the Fourth Proportional to 9,662.15, 13,333.74 and 5,683.26

Step by Step Solution

1. Step 1: Write the proportion equation
   9,662.15 : 13,333.74 = 5,683.26 : x
2. Step 2: Convert to fraction form
   9,662.15/13,333.74 = 5,683.26/x
3. Step 3: Cross multiply
   9,662.15x = 13,333.74 × 5,683.26
4. Step 4: Simplify right side
   9,662.15x = 75,779,111.19
5. Step 5: Solve for x
   x = 75,779,111.19/9,662.15
6. Step 6: Final answer
   x = 7,842.89