Finding the Fourth Proportional to 1,709.38, 2,565.28 and 785.98

Step by Step Solution

1. Step 1: Write the proportion equation
   1,709.38 : 2,565.28 = 785.98 : x
2. Step 2: Convert to fraction form
   1,709.38/2,565.28 = 785.98/x
3. Step 3: Cross multiply
   1,709.38x = 2,565.28 × 785.98
4. Step 4: Simplify right side
   1,709.38x = 2,016,253.34
5. Step 5: Solve for x
   x = 2,016,253.34/1,709.38
6. Step 6: Final answer
   x = 1,179.52