Finding the Fourth Proportional to 9,641.12, 13,302.60 and 5,866.25

Step by Step Solution

1. Step 1: Write the proportion equation
   9,641.12 : 13,302.60 = 5,866.25 : x
2. Step 2: Convert to fraction form
   9,641.12/13,302.60 = 5,866.25/x
3. Step 3: Cross multiply
   9,641.12x = 13,302.60 × 5,866.25
4. Step 4: Simplify right side
   9,641.12x = 78,036,377.25
5. Step 5: Solve for x
   x = 78,036,377.25/9,641.12
6. Step 6: Final answer
   x = 8,094.12