Finding the Fourth Proportional to 1,380.64, 2,071.04 and 514.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,380.64 : 2,071.04 = 514.72 : x
2. Step 2: Convert to fraction form
   1,380.64/2,071.04 = 514.72/x
3. Step 3: Cross multiply
   1,380.64x = 2,071.04 × 514.72
4. Step 4: Simplify right side
   1,380.64x = 1,066,005.71
5. Step 5: Solve for x
   x = 1,066,005.71/1,380.64
6. Step 6: Final answer
   x = 772.11