Finding the Fourth Proportional to 1,002.49, 1,506.57 and 591.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.49 : 1,506.57 = 591.82 : x
2. Step 2: Convert to fraction form
   1,002.49/1,506.57 = 591.82/x
3. Step 3: Cross multiply
   1,002.49x = 1,506.57 × 591.82
4. Step 4: Simplify right side
   1,002.49x = 891,618.26
5. Step 5: Solve for x
   x = 891,618.26/1,002.49
6. Step 6: Final answer
   x = 889.40