Finding the Fourth Proportional to 5,065.40, 7,564.01 and 5,034.64

Step by Step Solution

1. Step 1: Write the proportion equation
   5,065.40 : 7,564.01 = 5,034.64 : x
2. Step 2: Convert to fraction form
   5,065.40/7,564.01 = 5,034.64/x
3. Step 3: Cross multiply
   5,065.40x = 7,564.01 × 5,034.64
4. Step 4: Simplify right side
   5,065.40x = 38,082,067.31
5. Step 5: Solve for x
   x = 38,082,067.31/5,065.40
6. Step 6: Final answer
   x = 7,518.08