Finding the Fourth Proportional to 9,181.50, 12,666.30 and 5,642.58

Step by Step Solution

1. Step 1: Write the proportion equation
   9,181.50 : 12,666.30 = 5,642.58 : x
2. Step 2: Convert to fraction form
   9,181.50/12,666.30 = 5,642.58/x
3. Step 3: Cross multiply
   9,181.50x = 12,666.30 × 5,642.58
4. Step 4: Simplify right side
   9,181.50x = 71,470,611.05
5. Step 5: Solve for x
   x = 71,470,611.05/9,181.50
6. Step 6: Final answer
   x = 7,784.20