Finding the Fourth Proportional to 5,714.55, 7,886.16 and 4,038.86

Step by Step Solution

1. Step 1: Write the proportion equation
   5,714.55 : 7,886.16 = 4,038.86 : x
2. Step 2: Convert to fraction form
   5,714.55/7,886.16 = 4,038.86/x
3. Step 3: Cross multiply
   5,714.55x = 7,886.16 × 4,038.86
4. Step 4: Simplify right side
   5,714.55x = 31,851,115.89
5. Step 5: Solve for x
   x = 31,851,115.89/5,714.55
6. Step 6: Final answer
   x = 5,573.69