Finding the Fourth Proportional to 3,642.50, 5,462.60 and 1,176.72

Step by Step Solution

1. Step 1: Write the proportion equation
   3,642.50 : 5,462.60 = 1,176.72 : x
2. Step 2: Convert to fraction form
   3,642.50/5,462.60 = 1,176.72/x
3. Step 3: Cross multiply
   3,642.50x = 5,462.60 × 1,176.72
4. Step 4: Simplify right side
   3,642.50x = 6,427,944.79
5. Step 5: Solve for x
   x = 6,427,944.79/3,642.50
6. Step 6: Final answer
   x = 1,764.71