Finding the Fourth Proportional to 9,834.42, 13,565.30 and 5,852.56

Step by Step Solution

1. Step 1: Write the proportion equation
   9,834.42 : 13,565.30 = 5,852.56 : x
2. Step 2: Convert to fraction form
   9,834.42/13,565.30 = 5,852.56/x
3. Step 3: Cross multiply
   9,834.42x = 13,565.30 × 5,852.56
4. Step 4: Simplify right side
   9,834.42x = 79,391,732.17
5. Step 5: Solve for x
   x = 79,391,732.17/9,834.42
6. Step 6: Final answer
   x = 8,072.84