Finding the Fourth Proportional to 1,678.50, 2,516.59 and 800.32

Step by Step Solution

1. Step 1: Write the proportion equation
   1,678.50 : 2,516.59 = 800.32 : x
2. Step 2: Convert to fraction form
   1,678.50/2,516.59 = 800.32/x
3. Step 3: Cross multiply
   1,678.50x = 2,516.59 × 800.32
4. Step 4: Simplify right side
   1,678.50x = 2,014,077.31
5. Step 5: Solve for x
   x = 2,014,077.31/1,678.50
6. Step 6: Final answer
   x = 1,199.93