Finding the Fourth Proportional to 9,191.04, 12,683.72 and 5,413

Step by Step Solution

1. Step 1: Write the proportion equation
   9,191.04 : 12,683.72 = 5,413 : x
2. Step 2: Convert to fraction form
   9,191.04/12,683.72 = 5,413/x
3. Step 3: Cross multiply
   9,191.04x = 12,683.72 × 5,413
4. Step 4: Simplify right side
   9,191.04x = 68,656,976.36
5. Step 5: Solve for x
   x = 68,656,976.36/9,191.04
6. Step 6: Final answer
   x = 7,469.99