Finding the Fourth Proportional to 1,001.84, 1,382.61 and 576.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,001.84 : 1,382.61 = 576.59 : x
2. Step 2: Convert to fraction form
   1,001.84/1,382.61 = 576.59/x
3. Step 3: Cross multiply
   1,001.84x = 1,382.61 × 576.59
4. Step 4: Simplify right side
   1,001.84x = 797,196.22
5. Step 5: Solve for x
   x = 797,196.22/1,001.84
6. Step 6: Final answer
   x = 795.74