Finding the Fourth Proportional to 9,768.17, 13,474.68 and 5,788.55

Step by Step Solution

1. Step 1: Write the proportion equation
   9,768.17 : 13,474.68 = 5,788.55 : x
2. Step 2: Convert to fraction form
   9,768.17/13,474.68 = 5,788.55/x
3. Step 3: Cross multiply
   9,768.17x = 13,474.68 × 5,788.55
4. Step 4: Simplify right side
   9,768.17x = 77,998,858.91
5. Step 5: Solve for x
   x = 77,998,858.91/9,768.17
6. Step 6: Final answer
   x = 7,985.00