Finding the Fourth Proportional to 1,178.74, 1,767.39 and 1,026.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,178.74 : 1,767.39 = 1,026.10 : x
2. Step 2: Convert to fraction form
   1,178.74/1,767.39 = 1,026.10/x
3. Step 3: Cross multiply
   1,178.74x = 1,767.39 × 1,026.10
4. Step 4: Simplify right side
   1,178.74x = 1,813,518.88
5. Step 5: Solve for x
   x = 1,813,518.88/1,178.74
6. Step 6: Final answer
   x = 1,538.52