Finding the Fourth Proportional to 9,734.85, 13,431.42 and 5,645.16

Step by Step Solution

1. Step 1: Write the proportion equation
   9,734.85 : 13,431.42 = 5,645.16 : x
2. Step 2: Convert to fraction form
   9,734.85/13,431.42 = 5,645.16/x
3. Step 3: Cross multiply
   9,734.85x = 13,431.42 × 5,645.16
4. Step 4: Simplify right side
   9,734.85x = 75,822,514.93
5. Step 5: Solve for x
   x = 75,822,514.93/9,734.85
6. Step 6: Final answer
   x = 7,788.77