Finding the Fourth Proportional to 9,852.06, 14,783.61 and 5,234.94

Step by Step Solution

1. Step 1: Write the proportion equation
   9,852.06 : 14,783.61 = 5,234.94 : x
2. Step 2: Convert to fraction form
   9,852.06/14,783.61 = 5,234.94/x
3. Step 3: Cross multiply
   9,852.06x = 14,783.61 × 5,234.94
4. Step 4: Simplify right side
   9,852.06x = 77,391,311.33
5. Step 5: Solve for x
   x = 77,391,311.33/9,852.06
6. Step 6: Final answer
   x = 7,855.34