Finding the Fourth Proportional to 2,088, 2,881.50 and 1,156.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,088 : 2,881.50 = 1,156.56 : x
2. Step 2: Convert to fraction form
   2,088/2,881.50 = 1,156.56/x
3. Step 3: Cross multiply
   2,088x = 2,881.50 × 1,156.56
4. Step 4: Simplify right side
   2,088x = 3,332,627.64
5. Step 5: Solve for x
   x = 3,332,627.64/2,088
6. Step 6: Final answer
   x = 1,596.09