Finding the Fourth Proportional to 3,784.86, 5,677.56 and 1,320.30

Step by Step Solution

1. Step 1: Write the proportion equation
   3,784.86 : 5,677.56 = 1,320.30 : x
2. Step 2: Convert to fraction form
   3,784.86/5,677.56 = 1,320.30/x
3. Step 3: Cross multiply
   3,784.86x = 5,677.56 × 1,320.30
4. Step 4: Simplify right side
   3,784.86x = 7,496,082.47
5. Step 5: Solve for x
   x = 7,496,082.47/3,784.86
6. Step 6: Final answer
   x = 1,980.54