Finding the Fourth Proportional to 9,784.26, 13,499.01 and 5,534.73

Step by Step Solution

1. Step 1: Write the proportion equation
   9,784.26 : 13,499.01 = 5,534.73 : x
2. Step 2: Convert to fraction form
   9,784.26/13,499.01 = 5,534.73/x
3. Step 3: Cross multiply
   9,784.26x = 13,499.01 × 5,534.73
4. Step 4: Simplify right side
   9,784.26x = 74,713,375.62
5. Step 5: Solve for x
   x = 74,713,375.62/9,784.26
6. Step 6: Final answer
   x = 7,636.08