Finding the Fourth Proportional to 9,783.34, 14,638.42 and 5,820.16

Step by Step Solution

1. Step 1: Write the proportion equation
   9,783.34 : 14,638.42 = 5,820.16 : x
2. Step 2: Convert to fraction form
   9,783.34/14,638.42 = 5,820.16/x
3. Step 3: Cross multiply
   9,783.34x = 14,638.42 × 5,820.16
4. Step 4: Simplify right side
   9,783.34x = 85,197,946.55
5. Step 5: Solve for x
   x = 85,197,946.55/9,783.34
6. Step 6: Final answer
   x = 8,708.47