Finding the Fourth Proportional to 10,265.94, 14,164.74 and 7,878.60

Step by Step Solution

1. Step 1: Write the proportion equation
   10,265.94 : 14,164.74 = 7,878.60 : x
2. Step 2: Convert to fraction form
   10,265.94/14,164.74 = 7,878.60/x
3. Step 3: Cross multiply
   10,265.94x = 14,164.74 × 7,878.60
4. Step 4: Simplify right side
   10,265.94x = 111,598,320.56
5. Step 5: Solve for x
   x = 111,598,320.56/10,265.94
6. Step 6: Final answer
   x = 10,870.74