Finding the Fourth Proportional to 2,665.18, 3,677.83 and 1,780.86

Step by Step Solution

1. Step 1: Write the proportion equation
   2,665.18 : 3,677.83 = 1,780.86 : x
2. Step 2: Convert to fraction form
   2,665.18/3,677.83 = 1,780.86/x
3. Step 3: Cross multiply
   2,665.18x = 3,677.83 × 1,780.86
4. Step 4: Simplify right side
   2,665.18x = 6,549,700.33
5. Step 5: Solve for x
   x = 6,549,700.33/2,665.18
6. Step 6: Final answer
   x = 2,457.51