Finding the Fourth Proportional to 6,274.78, 9,412.20 and 1,892.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,274.78 : 9,412.20 = 1,892.50 : x
2. Step 2: Convert to fraction form
   6,274.78/9,412.20 = 1,892.50/x
3. Step 3: Cross multiply
   6,274.78x = 9,412.20 × 1,892.50
4. Step 4: Simplify right side
   6,274.78x = 17,812,588.50
5. Step 5: Solve for x
   x = 17,812,588.50/6,274.78
6. Step 6: Final answer
   x = 2,838.76