Finding the Fourth Proportional to 9,758.06, 13,466.20 and 5,727.30

Step by Step Solution

1. Step 1: Write the proportion equation
   9,758.06 : 13,466.20 = 5,727.30 : x
2. Step 2: Convert to fraction form
   9,758.06/13,466.20 = 5,727.30/x
3. Step 3: Cross multiply
   9,758.06x = 13,466.20 × 5,727.30
4. Step 4: Simplify right side
   9,758.06x = 77,124,967.26
5. Step 5: Solve for x
   x = 77,124,967.26/9,758.06
6. Step 6: Final answer
   x = 7,903.72