Finding the Fourth Proportional to 1,587.27, 2,381.31 and 765.93

Step by Step Solution

1. Step 1: Write the proportion equation
   1,587.27 : 2,381.31 = 765.93 : x
2. Step 2: Convert to fraction form
   1,587.27/2,381.31 = 765.93/x
3. Step 3: Cross multiply
   1,587.27x = 2,381.31 × 765.93
4. Step 4: Simplify right side
   1,587.27x = 1,823,916.77
5. Step 5: Solve for x
   x = 1,823,916.77/1,587.27
6. Step 6: Final answer
   x = 1,149.09