Finding the Fourth Proportional to 2,303.16, 3,453.78 and 1,005.48

Step by Step Solution

1. Step 1: Write the proportion equation
   2,303.16 : 3,453.78 = 1,005.48 : x
2. Step 2: Convert to fraction form
   2,303.16/3,453.78 = 1,005.48/x
3. Step 3: Cross multiply
   2,303.16x = 3,453.78 × 1,005.48
4. Step 4: Simplify right side
   2,303.16x = 3,472,706.71
5. Step 5: Solve for x
   x = 3,472,706.71/2,303.16
6. Step 6: Final answer
   x = 1,507.80