Finding the Fourth Proportional to 1,710.91, 2,564.29 and 785.18

Step by Step Solution

1. Step 1: Write the proportion equation
   1,710.91 : 2,564.29 = 785.18 : x
2. Step 2: Convert to fraction form
   1,710.91/2,564.29 = 785.18/x
3. Step 3: Cross multiply
   1,710.91x = 2,564.29 × 785.18
4. Step 4: Simplify right side
   1,710.91x = 2,013,429.22
5. Step 5: Solve for x
   x = 2,013,429.22/1,710.91
6. Step 6: Final answer
   x = 1,176.82