Finding the Fourth Proportional to 6,181.58, 9,274.52 and 4,109.78

Step by Step Solution

1. Step 1: Write the proportion equation
   6,181.58 : 9,274.52 = 4,109.78 : x
2. Step 2: Convert to fraction form
   6,181.58/9,274.52 = 4,109.78/x
3. Step 3: Cross multiply
   6,181.58x = 9,274.52 × 4,109.78
4. Step 4: Simplify right side
   6,181.58x = 38,116,200.71
5. Step 5: Solve for x
   x = 38,116,200.71/6,181.58
6. Step 6: Final answer
   x = 6,166.10