Finding the Fourth Proportional to 9,758.21, 13,466.37 and 5,509.31

Step by Step Solution

1. Step 1: Write the proportion equation
   9,758.21 : 13,466.37 = 5,509.31 : x
2. Step 2: Convert to fraction form
   9,758.21/13,466.37 = 5,509.31/x
3. Step 3: Cross multiply
   9,758.21x = 13,466.37 × 5,509.31
4. Step 4: Simplify right side
   9,758.21x = 74,190,406.90
5. Step 5: Solve for x
   x = 74,190,406.90/9,758.21
6. Step 6: Final answer
   x = 7,602.87