Finding the Fourth Proportional to 1,407.76, 2,110.56 and 852.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,407.76 : 2,110.56 = 852.34 : x
2. Step 2: Convert to fraction form
   1,407.76/2,110.56 = 852.34/x
3. Step 3: Cross multiply
   1,407.76x = 2,110.56 × 852.34
4. Step 4: Simplify right side
   1,407.76x = 1,798,914.71
5. Step 5: Solve for x
   x = 1,798,914.71/1,407.76
6. Step 6: Final answer
   x = 1,277.86