Finding the Fourth Proportional to 9,814.26, 13,545.63 and 5,834.58

Step by Step Solution

1. Step 1: Write the proportion equation
   9,814.26 : 13,545.63 = 5,834.58 : x
2. Step 2: Convert to fraction form
   9,814.26/13,545.63 = 5,834.58/x
3. Step 3: Cross multiply
   9,814.26x = 13,545.63 × 5,834.58
4. Step 4: Simplify right side
   9,814.26x = 79,033,061.89
5. Step 5: Solve for x
   x = 79,033,061.89/9,814.26
6. Step 6: Final answer
   x = 8,052.88