Finding the Fourth Proportional to 7,151.82, 10,735.83 and 5,178.66

Step by Step Solution

1. Step 1: Write the proportion equation
   7,151.82 : 10,735.83 = 5,178.66 : x
2. Step 2: Convert to fraction form
   7,151.82/10,735.83 = 5,178.66/x
3. Step 3: Cross multiply
   7,151.82x = 10,735.83 × 5,178.66
4. Step 4: Simplify right side
   7,151.82x = 55,597,213.39
5. Step 5: Solve for x
   x = 55,597,213.39/7,151.82
6. Step 6: Final answer
   x = 7,773.86