Finding the Fourth Proportional to 10,742.58, 16,114.63 and 4,496.30

Step by Step Solution

1. Step 1: Write the proportion equation
   10,742.58 : 16,114.63 = 4,496.30 : x
2. Step 2: Convert to fraction form
   10,742.58/16,114.63 = 4,496.30/x
3. Step 3: Cross multiply
   10,742.58x = 16,114.63 × 4,496.30
4. Step 4: Simplify right side
   10,742.58x = 72,456,210.87
5. Step 5: Solve for x
   x = 72,456,210.87/10,742.58
6. Step 6: Final answer
   x = 6,744.77