Finding the Fourth Proportional to 1,513.50, 2,088.63 and 892.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,513.50 : 2,088.63 = 892.50 : x
2. Step 2: Convert to fraction form
   1,513.50/2,088.63 = 892.50/x
3. Step 3: Cross multiply
   1,513.50x = 2,088.63 × 892.50
4. Step 4: Simplify right side
   1,513.50x = 1,864,102.28
5. Step 5: Solve for x
   x = 1,864,102.28/1,513.50
6. Step 6: Final answer
   x = 1,231.65