Finding the Fourth Proportional to 6,784.04, 10,179.84 and 3,663.98

Step by Step Solution

1. Step 1: Write the proportion equation
   6,784.04 : 10,179.84 = 3,663.98 : x
2. Step 2: Convert to fraction form
   6,784.04/10,179.84 = 3,663.98/x
3. Step 3: Cross multiply
   6,784.04x = 10,179.84 × 3,663.98
4. Step 4: Simplify right side
   6,784.04x = 37,298,730.16
5. Step 5: Solve for x
   x = 37,298,730.16/6,784.04
6. Step 6: Final answer
   x = 5,498.01