Finding the Fourth Proportional to 1,359.50, 1,876.27 and 807.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,359.50 : 1,876.27 = 807.50 : x
2. Step 2: Convert to fraction form
   1,359.50/1,876.27 = 807.50/x
3. Step 3: Cross multiply
   1,359.50x = 1,876.27 × 807.50
4. Step 4: Simplify right side
   1,359.50x = 1,515,088.03
5. Step 5: Solve for x
   x = 1,515,088.03/1,359.50
6. Step 6: Final answer
   x = 1,114.45