Finding the Fourth Proportional to 1,002.61, 1,503.71 and 290.01

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.61 : 1,503.71 = 290.01 : x
2. Step 2: Convert to fraction form
   1,002.61/1,503.71 = 290.01/x
3. Step 3: Cross multiply
   1,002.61x = 1,503.71 × 290.01
4. Step 4: Simplify right side
   1,002.61x = 436,089.49
5. Step 5: Solve for x
   x = 436,089.49/1,002.61
6. Step 6: Final answer
   x = 434.96