Finding the Fourth Proportional to 2,096.25, 2,892.83 and 1,164.93

Step by Step Solution

1. Step 1: Write the proportion equation
   2,096.25 : 2,892.83 = 1,164.93 : x
2. Step 2: Convert to fraction form
   2,096.25/2,892.83 = 1,164.93/x
3. Step 3: Cross multiply
   2,096.25x = 2,892.83 × 1,164.93
4. Step 4: Simplify right side
   2,096.25x = 3,369,938.63
5. Step 5: Solve for x
   x = 3,369,938.63/2,096.25
6. Step 6: Final answer
   x = 1,607.60