Finding the Fourth Proportional to 9,552.83, 13,185.65 and 5,776.00

Step by Step Solution

1. Step 1: Write the proportion equation
   9,552.83 : 13,185.65 = 5,776.00 : x
2. Step 2: Convert to fraction form
   9,552.83/13,185.65 = 5,776.00/x
3. Step 3: Cross multiply
   9,552.83x = 13,185.65 × 5,776.00
4. Step 4: Simplify right side
   9,552.83x = 76,160,295.88
5. Step 5: Solve for x
   x = 76,160,295.88/9,552.83
6. Step 6: Final answer
   x = 7,972.54