Finding the Fourth Proportional to 1,002.58, 1,505.31 and 786.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.58 : 1,505.31 = 786.94 : x
2. Step 2: Convert to fraction form
   1,002.58/1,505.31 = 786.94/x
3. Step 3: Cross multiply
   1,002.58x = 1,505.31 × 786.94
4. Step 4: Simplify right side
   1,002.58x = 1,184,588.65
5. Step 5: Solve for x
   x = 1,184,588.65/1,002.58
6. Step 6: Final answer
   x = 1,181.54