Finding the Fourth Proportional to 1,929.42, 2,892.20 and 758.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,929.42 : 2,892.20 = 758.69 : x
2. Step 2: Convert to fraction form
   1,929.42/2,892.20 = 758.69/x
3. Step 3: Cross multiply
   1,929.42x = 2,892.20 × 758.69
4. Step 4: Simplify right side
   1,929.42x = 2,194,268.76
5. Step 5: Solve for x
   x = 2,194,268.76/1,929.42
6. Step 6: Final answer
   x = 1,137.27