Finding the Fourth Proportional to 10,445.34, 14,414.59 and 5,729.66

Step by Step Solution

1. Step 1: Write the proportion equation
   10,445.34 : 14,414.59 = 5,729.66 : x
2. Step 2: Convert to fraction form
   10,445.34/14,414.59 = 5,729.66/x
3. Step 3: Cross multiply
   10,445.34x = 14,414.59 × 5,729.66
4. Step 4: Simplify right side
   10,445.34x = 82,590,699.74
5. Step 5: Solve for x
   x = 82,590,699.74/10,445.34
6. Step 6: Final answer
   x = 7,906.94