Finding the Fourth Proportional to 2,088.28, 2,881.92 and 1,156.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,088.28 : 2,881.92 = 1,156.78 : x
2. Step 2: Convert to fraction form
   2,088.28/2,881.92 = 1,156.78/x
3. Step 3: Cross multiply
   2,088.28x = 2,881.92 × 1,156.78
4. Step 4: Simplify right side
   2,088.28x = 3,333,747.42
5. Step 5: Solve for x
   x = 3,333,747.42/2,088.28
6. Step 6: Final answer
   x = 1,596.41