Finding the Fourth Proportional to 9,768.60, 13,484.68 and 5,790.08

Step by Step Solution

1. Step 1: Write the proportion equation
   9,768.60 : 13,484.68 = 5,790.08 : x
2. Step 2: Convert to fraction form
   9,768.60/13,484.68 = 5,790.08/x
3. Step 3: Cross multiply
   9,768.60x = 13,484.68 × 5,790.08
4. Step 4: Simplify right side
   9,768.60x = 78,077,395.21
5. Step 5: Solve for x
   x = 78,077,395.21/9,768.60
6. Step 6: Final answer
   x = 7,992.69