Finding the Fourth Proportional to 7,770.72, 11,669.04 and 5,106.72

Step by Step Solution

1. Step 1: Write the proportion equation
   7,770.72 : 11,669.04 = 5,106.72 : x
2. Step 2: Convert to fraction form
   7,770.72/11,669.04 = 5,106.72/x
3. Step 3: Cross multiply
   7,770.72x = 11,669.04 × 5,106.72
4. Step 4: Simplify right side
   7,770.72x = 59,590,519.95
5. Step 5: Solve for x
   x = 59,590,519.95/7,770.72
6. Step 6: Final answer
   x = 7,668.60