Finding the Fourth Proportional to 1,335.89, 2,004.55 and 686.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,335.89 : 2,004.55 = 686.63 : x
2. Step 2: Convert to fraction form
   1,335.89/2,004.55 = 686.63/x
3. Step 3: Cross multiply
   1,335.89x = 2,004.55 × 686.63
4. Step 4: Simplify right side
   1,335.89x = 1,376,387.46
5. Step 5: Solve for x
   x = 1,376,387.46/1,335.89
6. Step 6: Final answer
   x = 1,030.31