Finding the Fourth Proportional to 2,465.60, 3,697.83 and 1,148.53

Step by Step Solution

1. Step 1: Write the proportion equation
   2,465.60 : 3,697.83 = 1,148.53 : x
2. Step 2: Convert to fraction form
   2,465.60/3,697.83 = 1,148.53/x
3. Step 3: Cross multiply
   2,465.60x = 3,697.83 × 1,148.53
4. Step 4: Simplify right side
   2,465.60x = 4,247,068.69
5. Step 5: Solve for x
   x = 4,247,068.69/2,465.60
6. Step 6: Final answer
   x = 1,722.53