Finding the Fourth Proportional to 9,186.72, 12,677.76 and 5,460

Step by Step Solution

1. Step 1: Write the proportion equation
   9,186.72 : 12,677.76 = 5,460 : x
2. Step 2: Convert to fraction form
   9,186.72/12,677.76 = 5,460/x
3. Step 3: Cross multiply
   9,186.72x = 12,677.76 × 5,460
4. Step 4: Simplify right side
   9,186.72x = 69,220,569.60
5. Step 5: Solve for x
   x = 69,220,569.60/9,186.72
6. Step 6: Final answer
   x = 7,534.85