Finding the Fourth Proportional to 2,083.86, 3,126.06 and 785.70

Step by Step Solution

1. Step 1: Write the proportion equation
   2,083.86 : 3,126.06 = 785.70 : x
2. Step 2: Convert to fraction form
   2,083.86/3,126.06 = 785.70/x
3. Step 3: Cross multiply
   2,083.86x = 3,126.06 × 785.70
4. Step 4: Simplify right side
   2,083.86x = 2,456,145.34
5. Step 5: Solve for x
   x = 2,456,145.34/2,083.86
6. Step 6: Final answer
   x = 1,178.65