Finding the Fourth Proportional to 1,407.12, 2,110.05 and 822.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,407.12 : 2,110.05 = 822.72 : x
2. Step 2: Convert to fraction form
   1,407.12/2,110.05 = 822.72/x
3. Step 3: Cross multiply
   1,407.12x = 2,110.05 × 822.72
4. Step 4: Simplify right side
   1,407.12x = 1,735,980.34
5. Step 5: Solve for x
   x = 1,735,980.34/1,407.12
6. Step 6: Final answer
   x = 1,233.71