Finding the Fourth Proportional to 9,814.95, 13,544.69 and 5,835.29

Step by Step Solution

1. Step 1: Write the proportion equation
   9,814.95 : 13,544.69 = 5,835.29 : x
2. Step 2: Convert to fraction form
   9,814.95/13,544.69 = 5,835.29/x
3. Step 3: Cross multiply
   9,814.95x = 13,544.69 × 5,835.29
4. Step 4: Simplify right side
   9,814.95x = 79,037,097.21
5. Step 5: Solve for x
   x = 79,037,097.21/9,814.95
6. Step 6: Final answer
   x = 8,052.73