Finding the Fourth Proportional to 10,742.58, 16,138.58 and 7,630.16

Step by Step Solution

1. Step 1: Write the proportion equation
   10,742.58 : 16,138.58 = 7,630.16 : x
2. Step 2: Convert to fraction form
   10,742.58/16,138.58 = 7,630.16/x
3. Step 3: Cross multiply
   10,742.58x = 16,138.58 × 7,630.16
4. Step 4: Simplify right side
   10,742.58x = 123,139,828.73
5. Step 5: Solve for x
   x = 123,139,828.73/10,742.58
6. Step 6: Final answer
   x = 11,462.78