Finding the Fourth Proportional to 1,150.80, 1,725.57 and 786

Step by Step Solution

1. Step 1: Write the proportion equation
   1,150.80 : 1,725.57 = 786 : x
2. Step 2: Convert to fraction form
   1,150.80/1,725.57 = 786/x
3. Step 3: Cross multiply
   1,150.80x = 1,725.57 × 786
4. Step 4: Simplify right side
   1,150.80x = 1,356,298.02
5. Step 5: Solve for x
   x = 1,356,298.02/1,150.80
6. Step 6: Final answer
   x = 1,178.57