Finding the Fourth Proportional to 2,085.29, 3,126.94 and 785.93

Step by Step Solution

1. Step 1: Write the proportion equation
   2,085.29 : 3,126.94 = 785.93 : x
2. Step 2: Convert to fraction form
   2,085.29/3,126.94 = 785.93/x
3. Step 3: Cross multiply
   2,085.29x = 3,126.94 × 785.93
4. Step 4: Simplify right side
   2,085.29x = 2,457,552.02
5. Step 5: Solve for x
   x = 2,457,552.02/2,085.29
6. Step 6: Final answer
   x = 1,178.52