Finding the Fourth Proportional to 9,833.06, 13,564.86 and 5,852.72

Step by Step Solution

1. Step 1: Write the proportion equation
   9,833.06 : 13,564.86 = 5,852.72 : x
2. Step 2: Convert to fraction form
   9,833.06/13,564.86 = 5,852.72/x
3. Step 3: Cross multiply
   9,833.06x = 13,564.86 × 5,852.72
4. Step 4: Simplify right side
   9,833.06x = 79,391,327.42
5. Step 5: Solve for x
   x = 79,391,327.42/9,833.06
6. Step 6: Final answer
   x = 8,073.92