Finding the Fourth Proportional to 1,742.65, 2,406.98 and 1,302.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,742.65 : 2,406.98 = 1,302.50 : x
2. Step 2: Convert to fraction form
   1,742.65/2,406.98 = 1,302.50/x
3. Step 3: Cross multiply
   1,742.65x = 2,406.98 × 1,302.50
4. Step 4: Simplify right side
   1,742.65x = 3,135,100.72
5. Step 5: Solve for x
   x = 3,135,100.72/1,742.65
6. Step 6: Final answer
   x = 1,799.04