Finding the Fourth Proportional to 9,736.74, 13,436.42 and 5,758.02

Step by Step Solution

1. Step 1: Write the proportion equation
   9,736.74 : 13,436.42 = 5,758.02 : x
2. Step 2: Convert to fraction form
   9,736.74/13,436.42 = 5,758.02/x
3. Step 3: Cross multiply
   9,736.74x = 13,436.42 × 5,758.02
4. Step 4: Simplify right side
   9,736.74x = 77,367,146.30
5. Step 5: Solve for x
   x = 77,367,146.30/9,736.74
6. Step 6: Final answer
   x = 7,945.90