Finding the Fourth Proportional to 1,588.73, 2,381.00 and 765.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,588.73 : 2,381.00 = 765.50 : x
2. Step 2: Convert to fraction form
   1,588.73/2,381.00 = 765.50/x
3. Step 3: Cross multiply
   1,588.73x = 2,381.00 × 765.50
4. Step 4: Simplify right side
   1,588.73x = 1,822,639.77
5. Step 5: Solve for x
   x = 1,822,639.77/1,588.73
6. Step 6: Final answer
   x = 1,147.23