Finding the Fourth Proportional to 9,874.92, 13,630.82 and 5,684.84

Step by Step Solution

1. Step 1: Write the proportion equation
   9,874.92 : 13,630.82 = 5,684.84 : x
2. Step 2: Convert to fraction form
   9,874.92/13,630.82 = 5,684.84/x
3. Step 3: Cross multiply
   9,874.92x = 13,630.82 × 5,684.84
4. Step 4: Simplify right side
   9,874.92x = 77,489,030.77
5. Step 5: Solve for x
   x = 77,489,030.77/9,874.92
6. Step 6: Final answer
   x = 7,847.05