Finding the Fourth Proportional to 14,114.64, 19,477.56 and 7,826.88

Step by Step Solution

1. Step 1: Write the proportion equation
   14,114.64 : 19,477.56 = 7,826.88 : x
2. Step 2: Convert to fraction form
   14,114.64/19,477.56 = 7,826.88/x
3. Step 3: Cross multiply
   14,114.64x = 19,477.56 × 7,826.88
4. Step 4: Simplify right side
   14,114.64x = 152,448,524.81
5. Step 5: Solve for x
   x = 152,448,524.81/14,114.64
6. Step 6: Final answer
   x = 10,800.74