Finding the Fourth Proportional to 1,865.76, 2,574.81 and 1,026.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,865.76 : 2,574.81 = 1,026.50 : x
2. Step 2: Convert to fraction form
   1,865.76/2,574.81 = 1,026.50/x
3. Step 3: Cross multiply
   1,865.76x = 2,574.81 × 1,026.50
4. Step 4: Simplify right side
   1,865.76x = 2,643,029.59
5. Step 5: Solve for x
   x = 2,643,029.59/1,865.76
6. Step 6: Final answer
   x = 1,416.60