Finding the Fourth Proportional to 10,506.56, 14,498.01 and 6,256.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,506.56 : 14,498.01 = 6,256.78 : x
2. Step 2: Convert to fraction form
   10,506.56/14,498.01 = 6,256.78/x
3. Step 3: Cross multiply
   10,506.56x = 14,498.01 × 6,256.78
4. Step 4: Simplify right side
   10,506.56x = 90,710,859.01
5. Step 5: Solve for x
   x = 90,710,859.01/10,506.56
6. Step 6: Final answer
   x = 8,633.74