Finding the Fourth Proportional to 9,779.57, 13,496.54 and 5,530.71

Step by Step Solution

1. Step 1: Write the proportion equation
   9,779.57 : 13,496.54 = 5,530.71 : x
2. Step 2: Convert to fraction form
   9,779.57/13,496.54 = 5,530.71/x
3. Step 3: Cross multiply
   9,779.57x = 13,496.54 × 5,530.71
4. Step 4: Simplify right side
   9,779.57x = 74,645,477.16
5. Step 5: Solve for x
   x = 74,645,477.16/9,779.57
6. Step 6: Final answer
   x = 7,632.80