Finding the Fourth Proportional to 9,755.84, 13,452.66 and 7,865.42

Step by Step Solution

1. Step 1: Write the proportion equation
   9,755.84 : 13,452.66 = 7,865.42 : x
2. Step 2: Convert to fraction form
   9,755.84/13,452.66 = 7,865.42/x
3. Step 3: Cross multiply
   9,755.84x = 13,452.66 × 7,865.42
4. Step 4: Simplify right side
   9,755.84x = 105,810,821.02
5. Step 5: Solve for x
   x = 105,810,821.02/9,755.84
6. Step 6: Final answer
   x = 10,845.90