Finding the Fourth Proportional to 10,494.89, 14,483.14 and 5,714.98

Step by Step Solution

1. Step 1: Write the proportion equation
   10,494.89 : 14,483.14 = 5,714.98 : x
2. Step 2: Convert to fraction form
   10,494.89/14,483.14 = 5,714.98/x
3. Step 3: Cross multiply
   10,494.89x = 14,483.14 × 5,714.98
4. Step 4: Simplify right side
   10,494.89x = 82,770,826.37
5. Step 5: Solve for x
   x = 82,770,826.37/10,494.89
6. Step 6: Final answer
   x = 7,886.77