Finding the Fourth Proportional to 1,677.86, 2,317.62 and 1,365.20

Step by Step Solution

1. Step 1: Write the proportion equation
   1,677.86 : 2,317.62 = 1,365.20 : x
2. Step 2: Convert to fraction form
   1,677.86/2,317.62 = 1,365.20/x
3. Step 3: Cross multiply
   1,677.86x = 2,317.62 × 1,365.20
4. Step 4: Simplify right side
   1,677.86x = 3,164,014.82
5. Step 5: Solve for x
   x = 3,164,014.82/1,677.86
6. Step 6: Final answer
   x = 1,885.74