Finding the Fourth Proportional to 1,741.69, 2,610.86 and 586.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,741.69 : 2,610.86 = 586.81 : x
2. Step 2: Convert to fraction form
   1,741.69/2,610.86 = 586.81/x
3. Step 3: Cross multiply
   1,741.69x = 2,610.86 × 586.81
4. Step 4: Simplify right side
   1,741.69x = 1,532,075.82
5. Step 5: Solve for x
   x = 1,532,075.82/1,741.69
6. Step 6: Final answer
   x = 879.65