Finding the Fourth Proportional to 1,014.32, 1,399.71 and 594.61

Step by Step Solution

1. Step 1: Write the proportion equation
   1,014.32 : 1,399.71 = 594.61 : x
2. Step 2: Convert to fraction form
   1,014.32/1,399.71 = 594.61/x
3. Step 3: Cross multiply
   1,014.32x = 1,399.71 × 594.61
4. Step 4: Simplify right side
   1,014.32x = 832,278.59
5. Step 5: Solve for x
   x = 832,278.59/1,014.32
6. Step 6: Final answer
   x = 820.53