Finding the Fourth Proportional to 3,543.60, 5,315.46 and 946.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,543.60 : 5,315.46 = 946.50 : x
2. Step 2: Convert to fraction form
   3,543.60/5,315.46 = 946.50/x
3. Step 3: Cross multiply
   3,543.60x = 5,315.46 × 946.50
4. Step 4: Simplify right side
   3,543.60x = 5,031,082.89
5. Step 5: Solve for x
   x = 5,031,082.89/3,543.60
6. Step 6: Final answer
   x = 1,419.77