Finding the Fourth Proportional to 1,256.00, 1,881.59 and 762.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,256.00 : 1,881.59 = 762.56 : x
2. Step 2: Convert to fraction form
   1,256.00/1,881.59 = 762.56/x
3. Step 3: Cross multiply
   1,256.00x = 1,881.59 × 762.56
4. Step 4: Simplify right side
   1,256.00x = 1,434,817.77
5. Step 5: Solve for x
   x = 1,434,817.77/1,256.00
6. Step 6: Final answer
   x = 1,142.38