Finding the Fourth Proportional to 1,588.80, 2,383.72 and 1,007.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,588.80 : 2,383.72 = 1,007.42 : x
2. Step 2: Convert to fraction form
   1,588.80/2,383.72 = 1,007.42/x
3. Step 3: Cross multiply
   1,588.80x = 2,383.72 × 1,007.42
4. Step 4: Simplify right side
   1,588.80x = 2,401,410.64
5. Step 5: Solve for x
   x = 2,401,410.64/1,588.80
6. Step 6: Final answer
   x = 1,511.46