Finding the Fourth Proportional to 9,853.07, 13,597.02 and 5,602.09

Step by Step Solution

1. Step 1: Write the proportion equation
   9,853.07 : 13,597.02 = 5,602.09 : x
2. Step 2: Convert to fraction form
   9,853.07/13,597.02 = 5,602.09/x
3. Step 3: Cross multiply
   9,853.07x = 13,597.02 × 5,602.09
4. Step 4: Simplify right side
   9,853.07x = 76,171,729.77
5. Step 5: Solve for x
   x = 76,171,729.77/9,853.07
6. Step 6: Final answer
   x = 7,730.76