Finding the Fourth Proportional to 1,585.83, 2,379.29 and 764.17

Step by Step Solution

1. Step 1: Write the proportion equation
   1,585.83 : 2,379.29 = 764.17 : x
2. Step 2: Convert to fraction form
   1,585.83/2,379.29 = 764.17/x
3. Step 3: Cross multiply
   1,585.83x = 2,379.29 × 764.17
4. Step 4: Simplify right side
   1,585.83x = 1,818,182.04
5. Step 5: Solve for x
   x = 1,818,182.04/1,585.83
6. Step 6: Final answer
   x = 1,146.52