Finding the Fourth Proportional to 10,438.02, 14,418.27 and 7,780.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,438.02 : 14,418.27 = 7,780.82 : x
2. Step 2: Convert to fraction form
   10,438.02/14,418.27 = 7,780.82/x
3. Step 3: Cross multiply
   10,438.02x = 14,418.27 × 7,780.82
4. Step 4: Simplify right side
   10,438.02x = 112,185,891.49
5. Step 5: Solve for x
   x = 112,185,891.49/10,438.02
6. Step 6: Final answer
   x = 10,747.81