Finding the Fourth Proportional to 1,380.31, 2,071.00 and 514.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,380.31 : 2,071.00 = 514.69 : x
2. Step 2: Convert to fraction form
   1,380.31/2,071.00 = 514.69/x
3. Step 3: Cross multiply
   1,380.31x = 2,071.00 × 514.69
4. Step 4: Simplify right side
   1,380.31x = 1,065,918.46
5. Step 5: Solve for x
   x = 1,065,918.46/1,380.31
6. Step 6: Final answer
   x = 772.23