Finding the Fourth Proportional to 9,683.34, 13,362.75 and 5,491.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,683.34 : 13,362.75 = 5,491.50 : x
2. Step 2: Convert to fraction form
   9,683.34/13,362.75 = 5,491.50/x
3. Step 3: Cross multiply
   9,683.34x = 13,362.75 × 5,491.50
4. Step 4: Simplify right side
   9,683.34x = 73,381,541.63
5. Step 5: Solve for x
   x = 73,381,541.63/9,683.34
6. Step 6: Final answer
   x = 7,578.12