Finding the Fourth Proportional to 1,587.69, 2,380.10 and 902.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,587.69 : 2,380.10 = 902.25 : x
2. Step 2: Convert to fraction form
   1,587.69/2,380.10 = 902.25/x
3. Step 3: Cross multiply
   1,587.69x = 2,380.10 × 902.25
4. Step 4: Simplify right side
   1,587.69x = 2,147,440.71
5. Step 5: Solve for x
   x = 2,147,440.71/1,587.69
6. Step 6: Final answer
   x = 1,352.56