Finding the Fourth Proportional to 9,181.86, 12,664.35 and 5,647.02

Step by Step Solution

1. Step 1: Write the proportion equation
   9,181.86 : 12,664.35 = 5,647.02 : x
2. Step 2: Convert to fraction form
   9,181.86/12,664.35 = 5,647.02/x
3. Step 3: Cross multiply
   9,181.86x = 12,664.35 × 5,647.02
4. Step 4: Simplify right side
   9,181.86x = 71,515,837.74
5. Step 5: Solve for x
   x = 71,515,837.74/9,181.86
6. Step 6: Final answer
   x = 7,788.82