Finding the Fourth Proportional to 6,533.74, 9,016.29 and 3,549.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,533.74 : 9,016.29 = 3,549.50 : x
2. Step 2: Convert to fraction form
   6,533.74/9,016.29 = 3,549.50/x
3. Step 3: Cross multiply
   6,533.74x = 9,016.29 × 3,549.50
4. Step 4: Simplify right side
   6,533.74x = 32,003,274.74
5. Step 5: Solve for x
   x = 32,003,274.74/6,533.74
6. Step 6: Final answer
   x = 4,898.16