Finding the Fourth Proportional to 1,114.56, 1,538.28 and 1,026.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,114.56 : 1,538.28 = 1,026.72 : x
2. Step 2: Convert to fraction form
   1,114.56/1,538.28 = 1,026.72/x
3. Step 3: Cross multiply
   1,114.56x = 1,538.28 × 1,026.72
4. Step 4: Simplify right side
   1,114.56x = 1,579,382.84
5. Step 5: Solve for x
   x = 1,579,382.84/1,114.56
6. Step 6: Final answer
   x = 1,417.05