Finding the Fourth Proportional to 1,758.60, 2,638.72 and 784.60

Step by Step Solution

1. Step 1: Write the proportion equation
   1,758.60 : 2,638.72 = 784.60 : x
2. Step 2: Convert to fraction form
   1,758.60/2,638.72 = 784.60/x
3. Step 3: Cross multiply
   1,758.60x = 2,638.72 × 784.60
4. Step 4: Simplify right side
   1,758.60x = 2,070,339.71
5. Step 5: Solve for x
   x = 2,070,339.71/1,758.60
6. Step 6: Final answer
   x = 1,177.27