Finding the Fourth Proportional to 9,182.02, 12,671.52 and 5,646.34

Step by Step Solution

1. Step 1: Write the proportion equation
   9,182.02 : 12,671.52 = 5,646.34 : x
2. Step 2: Convert to fraction form
   9,182.02/12,671.52 = 5,646.34/x
3. Step 3: Cross multiply
   9,182.02x = 12,671.52 × 5,646.34
4. Step 4: Simplify right side
   9,182.02x = 71,547,710.24
5. Step 5: Solve for x
   x = 71,547,710.24/9,182.02
6. Step 6: Final answer
   x = 7,792.15