Finding the Fourth Proportional to 1,300.02, 1,946.55 and 812.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,300.02 : 1,946.55 = 812.10 : x
2. Step 2: Convert to fraction form
   1,300.02/1,946.55 = 812.10/x
3. Step 3: Cross multiply
   1,300.02x = 1,946.55 × 812.10
4. Step 4: Simplify right side
   1,300.02x = 1,580,793.26
5. Step 5: Solve for x
   x = 1,580,793.26/1,300.02
6. Step 6: Final answer
   x = 1,215.98