Finding the Fourth Proportional to 1,412.00, 1,948.74 and 852.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,412.00 : 1,948.74 = 852.78 : x
2. Step 2: Convert to fraction form
   1,412.00/1,948.74 = 852.78/x
3. Step 3: Cross multiply
   1,412.00x = 1,948.74 × 852.78
4. Step 4: Simplify right side
   1,412.00x = 1,661,842.23
5. Step 5: Solve for x
   x = 1,661,842.23/1,412.00
6. Step 6: Final answer
   x = 1,176.95