Finding the Fourth Proportional to 1,002.37, 1,381.82 and 778.61

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.37 : 1,381.82 = 778.61 : x
2. Step 2: Convert to fraction form
   1,002.37/1,381.82 = 778.61/x
3. Step 3: Cross multiply
   1,002.37x = 1,381.82 × 778.61
4. Step 4: Simplify right side
   1,002.37x = 1,075,893.91
5. Step 5: Solve for x
   x = 1,075,893.91/1,002.37
6. Step 6: Final answer
   x = 1,073.35