Finding the Fourth Proportional to 10,377.58, 14,314.80 and 6,342.56

Step by Step Solution

1. Step 1: Write the proportion equation
   10,377.58 : 14,314.80 = 6,342.56 : x
2. Step 2: Convert to fraction form
   10,377.58/14,314.80 = 6,342.56/x
3. Step 3: Cross multiply
   10,377.58x = 14,314.80 × 6,342.56
4. Step 4: Simplify right side
   10,377.58x = 90,792,477.89
5. Step 5: Solve for x
   x = 90,792,477.89/10,377.58
6. Step 6: Final answer
   x = 8,748.91