Finding the Fourth Proportional to 3,780.30, 5,669.10 and 1,315.20

Step by Step Solution

1. Step 1: Write the proportion equation
   3,780.30 : 5,669.10 = 1,315.20 : x
2. Step 2: Convert to fraction form
   3,780.30/5,669.10 = 1,315.20/x
3. Step 3: Cross multiply
   3,780.30x = 5,669.10 × 1,315.20
4. Step 4: Simplify right side
   3,780.30x = 7,456,000.32
5. Step 5: Solve for x
   x = 7,456,000.32/3,780.30
6. Step 6: Final answer
   x = 1,972.33