Finding the Fourth Proportional to 2,086.46, 3,133.74 and 1,536.47

Step by Step Solution

1. Step 1: Write the proportion equation
   2,086.46 : 3,133.74 = 1,536.47 : x
2. Step 2: Convert to fraction form
   2,086.46/3,133.74 = 1,536.47/x
3. Step 3: Cross multiply
   2,086.46x = 3,133.74 × 1,536.47
4. Step 4: Simplify right side
   2,086.46x = 4,814,897.50
5. Step 5: Solve for x
   x = 4,814,897.50/2,086.46
6. Step 6: Final answer
   x = 2,307.69