Finding the Fourth Proportional to 9,952.90, 13,735.61 and 5,477.64

Step by Step Solution

1. Step 1: Write the proportion equation
   9,952.90 : 13,735.61 = 5,477.64 : x
2. Step 2: Convert to fraction form
   9,952.90/13,735.61 = 5,477.64/x
3. Step 3: Cross multiply
   9,952.90x = 13,735.61 × 5,477.64
4. Step 4: Simplify right side
   9,952.90x = 75,238,710.83
5. Step 5: Solve for x
   x = 75,238,710.83/9,952.90
6. Step 6: Final answer
   x = 7,559.48