Finding the Fourth Proportional to 9,758.30, 13,460.16 and 5,776.70

Step by Step Solution

1. Step 1: Write the proportion equation
   9,758.30 : 13,460.16 = 5,776.70 : x
2. Step 2: Convert to fraction form
   9,758.30/13,460.16 = 5,776.70/x
3. Step 3: Cross multiply
   9,758.30x = 13,460.16 × 5,776.70
4. Step 4: Simplify right side
   9,758.30x = 77,755,306.27
5. Step 5: Solve for x
   x = 77,755,306.27/9,758.30
6. Step 6: Final answer
   x = 7,968.12