Finding the Fourth Proportional to 6,947.98, 9,588.72 and 4,586.02

Step by Step Solution

1. Step 1: Write the proportion equation
   6,947.98 : 9,588.72 = 4,586.02 : x
2. Step 2: Convert to fraction form
   6,947.98/9,588.72 = 4,586.02/x
3. Step 3: Cross multiply
   6,947.98x = 9,588.72 × 4,586.02
4. Step 4: Simplify right side
   6,947.98x = 43,974,061.69
5. Step 5: Solve for x
   x = 43,974,061.69/6,947.98
6. Step 6: Final answer
   x = 6,329.04