Finding the Fourth Proportional to 17,454, 26,185.32 and 5,142

Step by Step Solution

1. Step 1: Write the proportion equation
   17,454 : 26,185.32 = 5,142 : x
2. Step 2: Convert to fraction form
   17,454/26,185.32 = 5,142/x
3. Step 3: Cross multiply
   17,454x = 26,185.32 × 5,142
4. Step 4: Simplify right side
   17,454x = 134,644,915.44
5. Step 5: Solve for x
   x = 134,644,915.44/17,454
6. Step 6: Final answer
   x = 7,714.27