Finding the Fourth Proportional to 7,664.88, 10,567.56 and 5,779.20

Step by Step Solution

1. Step 1: Write the proportion equation
   7,664.88 : 10,567.56 = 5,779.20 : x
2. Step 2: Convert to fraction form
   7,664.88/10,567.56 = 5,779.20/x
3. Step 3: Cross multiply
   7,664.88x = 10,567.56 × 5,779.20
4. Step 4: Simplify right side
   7,664.88x = 61,072,042.75
5. Step 5: Solve for x
   x = 61,072,042.75/7,664.88
6. Step 6: Final answer
   x = 7,967.78