Finding the Fourth Proportional to 2,526, 3,789.56 and 1,066.40

Step by Step Solution

1. Step 1: Write the proportion equation
   2,526 : 3,789.56 = 1,066.40 : x
2. Step 2: Convert to fraction form
   2,526/3,789.56 = 1,066.40/x
3. Step 3: Cross multiply
   2,526x = 3,789.56 × 1,066.40
4. Step 4: Simplify right side
   2,526x = 4,041,186.78
5. Step 5: Solve for x
   x = 4,041,186.78/2,526
6. Step 6: Final answer
   x = 1,599.84