Finding the Fourth Proportional to 5,714.60, 7,874.28 and 5,342.00

Step by Step Solution

1. Step 1: Write the proportion equation
   5,714.60 : 7,874.28 = 5,342.00 : x
2. Step 2: Convert to fraction form
   5,714.60/7,874.28 = 5,342.00/x
3. Step 3: Cross multiply
   5,714.60x = 7,874.28 × 5,342.00
4. Step 4: Simplify right side
   5,714.60x = 42,064,364.39
5. Step 5: Solve for x
   x = 42,064,364.39/5,714.60
6. Step 6: Final answer
   x = 7,360.87