Finding the Fourth Proportional to 1,507.82, 2,259.90 and 684.96

Step by Step Solution

1. Step 1: Write the proportion equation
   1,507.82 : 2,259.90 = 684.96 : x
2. Step 2: Convert to fraction form
   1,507.82/2,259.90 = 684.96/x
3. Step 3: Cross multiply
   1,507.82x = 2,259.90 × 684.96
4. Step 4: Simplify right side
   1,507.82x = 1,547,932.63
5. Step 5: Solve for x
   x = 1,547,932.63/1,507.82
6. Step 6: Final answer
   x = 1,026.61