Finding the Fourth Proportional to 1,381.50, 2,071.77 and 515.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,381.50 : 2,071.77 = 515.34 : x
2. Step 2: Convert to fraction form
   1,381.50/2,071.77 = 515.34/x
3. Step 3: Cross multiply
   1,381.50x = 2,071.77 × 515.34
4. Step 4: Simplify right side
   1,381.50x = 1,067,665.95
5. Step 5: Solve for x
   x = 1,067,665.95/1,381.50
6. Step 6: Final answer
   x = 772.83