Finding the Fourth Proportional to 1,693.30, 2,538.78 and 814.57

Step by Step Solution

1. Step 1: Write the proportion equation
   1,693.30 : 2,538.78 = 814.57 : x
2. Step 2: Convert to fraction form
   1,693.30/2,538.78 = 814.57/x
3. Step 3: Cross multiply
   1,693.30x = 2,538.78 × 814.57
4. Step 4: Simplify right side
   1,693.30x = 2,068,014.02
5. Step 5: Solve for x
   x = 2,068,014.02/1,693.30
6. Step 6: Final answer
   x = 1,221.29