Finding the Fourth Proportional to 6,977.56, 9,638.58 and 5,667.52

Step by Step Solution

1. Step 1: Write the proportion equation
   6,977.56 : 9,638.58 = 5,667.52 : x
2. Step 2: Convert to fraction form
   6,977.56/9,638.58 = 5,667.52/x
3. Step 3: Cross multiply
   6,977.56x = 9,638.58 × 5,667.52
4. Step 4: Simplify right side
   6,977.56x = 54,626,844.92
5. Step 5: Solve for x
   x = 54,626,844.92/6,977.56
6. Step 6: Final answer
   x = 7,828.93