Finding the Fourth Proportional to 7,770.78, 10,733.94 and 5,758.29

Step by Step Solution

1. Step 1: Write the proportion equation
   7,770.78 : 10,733.94 = 5,758.29 : x
2. Step 2: Convert to fraction form
   7,770.78/10,733.94 = 5,758.29/x
3. Step 3: Cross multiply
   7,770.78x = 10,733.94 × 5,758.29
4. Step 4: Simplify right side
   7,770.78x = 61,809,139.36
5. Step 5: Solve for x
   x = 61,809,139.36/7,770.78
6. Step 6: Final answer
   x = 7,954.05