Finding the Fourth Proportional to 1,256.58, 1,733.67 and 784.89

Step by Step Solution

1. Step 1: Write the proportion equation
   1,256.58 : 1,733.67 = 784.89 : x
2. Step 2: Convert to fraction form
   1,256.58/1,733.67 = 784.89/x
3. Step 3: Cross multiply
   1,256.58x = 1,733.67 × 784.89
4. Step 4: Simplify right side
   1,256.58x = 1,360,740.25
5. Step 5: Solve for x
   x = 1,360,740.25/1,256.58
6. Step 6: Final answer
   x = 1,082.89