Finding the Fourth Proportional to 9,758.55, 13,468.56 and 5,781.63

Step by Step Solution

1. Step 1: Write the proportion equation
   9,758.55 : 13,468.56 = 5,781.63 : x
2. Step 2: Convert to fraction form
   9,758.55/13,468.56 = 5,781.63/x
3. Step 3: Cross multiply
   9,758.55x = 13,468.56 × 5,781.63
4. Step 4: Simplify right side
   9,758.55x = 77,870,230.55
5. Step 5: Solve for x
   x = 77,870,230.55/9,758.55
6. Step 6: Final answer
   x = 7,979.69