Finding the Fourth Proportional to 9,181.58, 12,670.71 and 5,643.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,181.58 : 12,670.71 = 5,643.50 : x
2. Step 2: Convert to fraction form
   9,181.58/12,670.71 = 5,643.50/x
3. Step 3: Cross multiply
   9,181.58x = 12,670.71 × 5,643.50
4. Step 4: Simplify right side
   9,181.58x = 71,507,151.89
5. Step 5: Solve for x
   x = 71,507,151.89/9,181.58
6. Step 6: Final answer
   x = 7,788.11