Finding the Fourth Proportional to 6,342.84, 9,525.15 and 3,892.05

Step by Step Solution

1. Step 1: Write the proportion equation
   6,342.84 : 9,525.15 = 3,892.05 : x
2. Step 2: Convert to fraction form
   6,342.84/9,525.15 = 3,892.05/x
3. Step 3: Cross multiply
   6,342.84x = 9,525.15 × 3,892.05
4. Step 4: Simplify right side
   6,342.84x = 37,072,360.06
5. Step 5: Solve for x
   x = 37,072,360.06/6,342.84
6. Step 6: Final answer
   x = 5,844.76