Finding the Fourth Proportional to 9,768.07, 13,480 and 5,291.82

Step by Step Solution

1. Step 1: Write the proportion equation
   9,768.07 : 13,480 = 5,291.82 : x
2. Step 2: Convert to fraction form
   9,768.07/13,480 = 5,291.82/x
3. Step 3: Cross multiply
   9,768.07x = 13,480 × 5,291.82
4. Step 4: Simplify right side
   9,768.07x = 71,333,733.60
5. Step 5: Solve for x
   x = 71,333,733.60/9,768.07
6. Step 6: Final answer
   x = 7,302.75