Finding the Fourth Proportional to 2,085.13, 3,126.48 and 785.89

Step by Step Solution

1. Step 1: Write the proportion equation
   2,085.13 : 3,126.48 = 785.89 : x
2. Step 2: Convert to fraction form
   2,085.13/3,126.48 = 785.89/x
3. Step 3: Cross multiply
   2,085.13x = 3,126.48 × 785.89
4. Step 4: Simplify right side
   2,085.13x = 2,457,069.37
5. Step 5: Solve for x
   x = 2,457,069.37/2,085.13
6. Step 6: Final answer
   x = 1,178.38