Finding the Fourth Proportional to 9,839.34, 14,761.62 and 5,671.85

Step by Step Solution

1. Step 1: Write the proportion equation
   9,839.34 : 14,761.62 = 5,671.85 : x
2. Step 2: Convert to fraction form
   9,839.34/14,761.62 = 5,671.85/x
3. Step 3: Cross multiply
   9,839.34x = 14,761.62 × 5,671.85
4. Step 4: Simplify right side
   9,839.34x = 83,725,620.59
5. Step 5: Solve for x
   x = 83,725,620.59/9,839.34
6. Step 6: Final answer
   x = 8,509.27