Finding the Fourth Proportional to 1,300.10, 1,949.77 and 375.67

Step by Step Solution

1. Step 1: Write the proportion equation
   1,300.10 : 1,949.77 = 375.67 : x
2. Step 2: Convert to fraction form
   1,300.10/1,949.77 = 375.67/x
3. Step 3: Cross multiply
   1,300.10x = 1,949.77 × 375.67
4. Step 4: Simplify right side
   1,300.10x = 732,464.28
5. Step 5: Solve for x
   x = 732,464.28/1,300.10
6. Step 6: Final answer
   x = 563.39