Finding the Fourth Proportional to 10,005.42, 14,994.72 and 7,786.94

Step by Step Solution

1. Step 1: Write the proportion equation
   10,005.42 : 14,994.72 = 7,786.94 : x
2. Step 2: Convert to fraction form
   10,005.42/14,994.72 = 7,786.94/x
3. Step 3: Cross multiply
   10,005.42x = 14,994.72 × 7,786.94
4. Step 4: Simplify right side
   10,005.42x = 116,762,909.98
5. Step 5: Solve for x
   x = 116,762,909.98/10,005.42
6. Step 6: Final answer
   x = 11,669.96