Finding the Fourth Proportional to 1,428.62, 1,971.38 and 807.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,428.62 : 1,971.38 = 807.50 : x
2. Step 2: Convert to fraction form
   1,428.62/1,971.38 = 807.50/x
3. Step 3: Cross multiply
   1,428.62x = 1,971.38 × 807.50
4. Step 4: Simplify right side
   1,428.62x = 1,591,889.35
5. Step 5: Solve for x
   x = 1,591,889.35/1,428.62
6. Step 6: Final answer
   x = 1,114.28