Finding the Fourth Proportional to 1,376.50, 1,899.70 and 755.62

Step by Step Solution

1. Step 1: Write the proportion equation
   1,376.50 : 1,899.70 = 755.62 : x
2. Step 2: Convert to fraction form
   1,376.50/1,899.70 = 755.62/x
3. Step 3: Cross multiply
   1,376.50x = 1,899.70 × 755.62
4. Step 4: Simplify right side
   1,376.50x = 1,435,451.31
5. Step 5: Solve for x
   x = 1,435,451.31/1,376.50
6. Step 6: Final answer
   x = 1,042.83