Finding the Fourth Proportional to 9,736.58, 13,436.48 and 5,260.34

Step by Step Solution

1. Step 1: Write the proportion equation
   9,736.58 : 13,436.48 = 5,260.34 : x
2. Step 2: Convert to fraction form
   9,736.58/13,436.48 = 5,260.34/x
3. Step 3: Cross multiply
   9,736.58x = 13,436.48 × 5,260.34
4. Step 4: Simplify right side
   9,736.58x = 70,680,499.95
5. Step 5: Solve for x
   x = 70,680,499.95/9,736.58
6. Step 6: Final answer
   x = 7,259.27