Finding the Fourth Proportional to 1,343.84, 1,854.74 and 846.14

Step by Step Solution

1. Step 1: Write the proportion equation
   1,343.84 : 1,854.74 = 846.14 : x
2. Step 2: Convert to fraction form
   1,343.84/1,854.74 = 846.14/x
3. Step 3: Cross multiply
   1,343.84x = 1,854.74 × 846.14
4. Step 4: Simplify right side
   1,343.84x = 1,569,362.55
5. Step 5: Solve for x
   x = 1,569,362.55/1,343.84
6. Step 6: Final answer
   x = 1,167.82