Finding the Fourth Proportional to 2,084.32, 2,877.83 and 1,420.93

Step by Step Solution

1. Step 1: Write the proportion equation
   2,084.32 : 2,877.83 = 1,420.93 : x
2. Step 2: Convert to fraction form
   2,084.32/2,877.83 = 1,420.93/x
3. Step 3: Cross multiply
   2,084.32x = 2,877.83 × 1,420.93
4. Step 4: Simplify right side
   2,084.32x = 4,089,194.98
5. Step 5: Solve for x
   x = 4,089,194.98/2,084.32
6. Step 6: Final answer
   x = 1,961.88