Finding the Fourth Proportional to 9,189.16, 12,676.98 and 5,461

Step by Step Solution

1. Step 1: Write the proportion equation
   9,189.16 : 12,676.98 = 5,461 : x
2. Step 2: Convert to fraction form
   9,189.16/12,676.98 = 5,461/x
3. Step 3: Cross multiply
   9,189.16x = 12,676.98 × 5,461
4. Step 4: Simplify right side
   9,189.16x = 69,228,987.78
5. Step 5: Solve for x
   x = 69,228,987.78/9,189.16
6. Step 6: Final answer
   x = 7,533.77