Finding the Fourth Proportional to 9,181.02, 12,663.36 and 5,646.18

Step by Step Solution

1. Step 1: Write the proportion equation
   9,181.02 : 12,663.36 = 5,646.18 : x
2. Step 2: Convert to fraction form
   9,181.02/12,663.36 = 5,646.18/x
3. Step 3: Cross multiply
   9,181.02x = 12,663.36 × 5,646.18
4. Step 4: Simplify right side
   9,181.02x = 71,499,609.96
5. Step 5: Solve for x
   x = 71,499,609.96/9,181.02
6. Step 6: Final answer
   x = 7,787.76