Finding the Fourth Proportional to 9,566.07, 13,199.12 and 5,585.37

Step by Step Solution

1. Step 1: Write the proportion equation
   9,566.07 : 13,199.12 = 5,585.37 : x
2. Step 2: Convert to fraction form
   9,566.07/13,199.12 = 5,585.37/x
3. Step 3: Cross multiply
   9,566.07x = 13,199.12 × 5,585.37
4. Step 4: Simplify right side
   9,566.07x = 73,721,940.95
5. Step 5: Solve for x
   x = 73,721,940.95/9,566.07
6. Step 6: Final answer
   x = 7,706.61