Finding the Fourth Proportional to 7,667.84, 10,574.60 and 5,683.34

Step by Step Solution

1. Step 1: Write the proportion equation
   7,667.84 : 10,574.60 = 5,683.34 : x
2. Step 2: Convert to fraction form
   7,667.84/10,574.60 = 5,683.34/x
3. Step 3: Cross multiply
   7,667.84x = 10,574.60 × 5,683.34
4. Step 4: Simplify right side
   7,667.84x = 60,099,047.16
5. Step 5: Solve for x
   x = 60,099,047.16/7,667.84
6. Step 6: Final answer
   x = 7,837.81