Finding the Fourth Proportional to 1,377.98, 2,065.68 and 762.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,377.98 : 2,065.68 = 762.02 : x
2. Step 2: Convert to fraction form
   1,377.98/2,065.68 = 762.02/x
3. Step 3: Cross multiply
   1,377.98x = 2,065.68 × 762.02
4. Step 4: Simplify right side
   1,377.98x = 1,574,089.47
5. Step 5: Solve for x
   x = 1,574,089.47/1,377.98
6. Step 6: Final answer
   x = 1,142.32