Finding the Fourth Proportional to 1,300.10, 1,794.14 and 710.64

Step by Step Solution

1. Step 1: Write the proportion equation
   1,300.10 : 1,794.14 = 710.64 : x
2. Step 2: Convert to fraction form
   1,300.10/1,794.14 = 710.64/x
3. Step 3: Cross multiply
   1,300.10x = 1,794.14 × 710.64
4. Step 4: Simplify right side
   1,300.10x = 1,274,984.10
5. Step 5: Solve for x
   x = 1,274,984.10/1,300.10
6. Step 6: Final answer
   x = 980.69