Finding the Fourth Proportional to 10,478.42, 14,465.34 and 7,076.30

Step by Step Solution

1. Step 1: Write the proportion equation
   10,478.42 : 14,465.34 = 7,076.30 : x
2. Step 2: Convert to fraction form
   10,478.42/14,465.34 = 7,076.30/x
3. Step 3: Cross multiply
   10,478.42x = 14,465.34 × 7,076.30
4. Step 4: Simplify right side
   10,478.42x = 102,361,085.44
5. Step 5: Solve for x
   x = 102,361,085.44/10,478.42
6. Step 6: Final answer
   x = 9,768.75