Finding the Fourth Proportional to 1,902.50, 2,851.61 and 1,438.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,902.50 : 2,851.61 = 1,438.78 : x
2. Step 2: Convert to fraction form
   1,902.50/2,851.61 = 1,438.78/x
3. Step 3: Cross multiply
   1,902.50x = 2,851.61 × 1,438.78
4. Step 4: Simplify right side
   1,902.50x = 4,102,817.98
5. Step 5: Solve for x
   x = 4,102,817.98/1,902.50
6. Step 6: Final answer
   x = 2,156.54