Finding the Fourth Proportional to 10,446.57, 15,672.17 and 5,184.45

Step by Step Solution

1. Step 1: Write the proportion equation
   10,446.57 : 15,672.17 = 5,184.45 : x
2. Step 2: Convert to fraction form
   10,446.57/15,672.17 = 5,184.45/x
3. Step 3: Cross multiply
   10,446.57x = 15,672.17 × 5,184.45
4. Step 4: Simplify right side
   10,446.57x = 81,251,555.83
5. Step 5: Solve for x
   x = 81,251,555.83/10,446.57
6. Step 6: Final answer
   x = 7,777.82