Finding the Fourth Proportional to 1,186.59, 1,779.83 and 702.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,186.59 : 1,779.83 = 702.72 : x
2. Step 2: Convert to fraction form
   1,186.59/1,779.83 = 702.72/x
3. Step 3: Cross multiply
   1,186.59x = 1,779.83 × 702.72
4. Step 4: Simplify right side
   1,186.59x = 1,250,723.89
5. Step 5: Solve for x
   x = 1,250,723.89/1,186.59
6. Step 6: Final answer
   x = 1,054.05