Finding the Fourth Proportional to 6,094.14, 9,142.56 and 1,877.42

Step by Step Solution

1. Step 1: Write the proportion equation
   6,094.14 : 9,142.56 = 1,877.42 : x
2. Step 2: Convert to fraction form
   6,094.14/9,142.56 = 1,877.42/x
3. Step 3: Cross multiply
   6,094.14x = 9,142.56 × 1,877.42
4. Step 4: Simplify right side
   6,094.14x = 17,164,425.00
5. Step 5: Solve for x
   x = 17,164,425.00/6,094.14
6. Step 6: Final answer
   x = 2,816.55