Finding the Fourth Proportional to 1,071.82, 1,606.60 and 523.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,071.82 : 1,606.60 = 523.25 : x
2. Step 2: Convert to fraction form
   1,071.82/1,606.60 = 523.25/x
3. Step 3: Cross multiply
   1,071.82x = 1,606.60 × 523.25
4. Step 4: Simplify right side
   1,071.82x = 840,642.80
5. Step 5: Solve for x
   x = 840,642.80/1,071.82
6. Step 6: Final answer
   x = 784.32