Finding the Fourth Proportional to 3,564.82, 5,347.50 and 1,099.63

Step by Step Solution

1. Step 1: Write the proportion equation
   3,564.82 : 5,347.50 = 1,099.63 : x
2. Step 2: Convert to fraction form
   3,564.82/5,347.50 = 1,099.63/x
3. Step 3: Cross multiply
   3,564.82x = 5,347.50 × 1,099.63
4. Step 4: Simplify right side
   3,564.82x = 5,880,271.43
5. Step 5: Solve for x
   x = 5,880,271.43/3,564.82
6. Step 6: Final answer
   x = 1,649.53