Finding the Fourth Proportional to 10,081.86, 13,907.05 and 6,547.42

Step by Step Solution

1. Step 1: Write the proportion equation
   10,081.86 : 13,907.05 = 6,547.42 : x
2. Step 2: Convert to fraction form
   10,081.86/13,907.05 = 6,547.42/x
3. Step 3: Cross multiply
   10,081.86x = 13,907.05 × 6,547.42
4. Step 4: Simplify right side
   10,081.86x = 91,055,297.31
5. Step 5: Solve for x
   x = 91,055,297.31/10,081.86
6. Step 6: Final answer
   x = 9,031.60