Finding the Fourth Proportional to 5,164.59, 7,692.22 and 5,139.42

Step by Step Solution

1. Step 1: Write the proportion equation
   5,164.59 : 7,692.22 = 5,139.42 : x
2. Step 2: Convert to fraction form
   5,164.59/7,692.22 = 5,139.42/x
3. Step 3: Cross multiply
   5,164.59x = 7,692.22 × 5,139.42
4. Step 4: Simplify right side
   5,164.59x = 39,533,536.46
5. Step 5: Solve for x
   x = 39,533,536.46/5,164.59
6. Step 6: Final answer
   x = 7,654.73