Finding the Fourth Proportional to 2,134.50, 2,945.64 and 1,306.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,134.50 : 2,945.64 = 1,306.50 : x
2. Step 2: Convert to fraction form
   2,134.50/2,945.64 = 1,306.50/x
3. Step 3: Cross multiply
   2,134.50x = 2,945.64 × 1,306.50
4. Step 4: Simplify right side
   2,134.50x = 3,848,478.66
5. Step 5: Solve for x
   x = 3,848,478.66/2,134.50
6. Step 6: Final answer
   x = 1,802.99