Finding the Fourth Proportional to 6,931.16, 9,559.59 and 4,538.42

Step by Step Solution

1. Step 1: Write the proportion equation
   6,931.16 : 9,559.59 = 4,538.42 : x
2. Step 2: Convert to fraction form
   6,931.16/9,559.59 = 4,538.42/x
3. Step 3: Cross multiply
   6,931.16x = 9,559.59 × 4,538.42
4. Step 4: Simplify right side
   6,931.16x = 43,385,386.65
5. Step 5: Solve for x
   x = 43,385,386.65/6,931.16
6. Step 6: Final answer
   x = 6,259.47