Finding the Fourth Proportional to 1,002.34, 1,381.35 and 780.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.34 : 1,381.35 = 780.94 : x
2. Step 2: Convert to fraction form
   1,002.34/1,381.35 = 780.94/x
3. Step 3: Cross multiply
   1,002.34x = 1,381.35 × 780.94
4. Step 4: Simplify right side
   1,002.34x = 1,078,751.47
5. Step 5: Solve for x
   x = 1,078,751.47/1,002.34
6. Step 6: Final answer
   x = 1,076.23