Finding the Fourth Proportional to 7,764.06, 10,716.10 and 5,111.76

Step by Step Solution

1. Step 1: Write the proportion equation
   7,764.06 : 10,716.10 = 5,111.76 : x
2. Step 2: Convert to fraction form
   7,764.06/10,716.10 = 5,111.76/x
3. Step 3: Cross multiply
   7,764.06x = 10,716.10 × 5,111.76
4. Step 4: Simplify right side
   7,764.06x = 54,778,131.34
5. Step 5: Solve for x
   x = 54,778,131.34/7,764.06
6. Step 6: Final answer
   x = 7,055.35