Finding the Fourth Proportional to 1,662.21, 2,493.72 and 785.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,662.21 : 2,493.72 = 785.30 : x
2. Step 2: Convert to fraction form
   1,662.21/2,493.72 = 785.30/x
3. Step 3: Cross multiply
   1,662.21x = 2,493.72 × 785.30
4. Step 4: Simplify right side
   1,662.21x = 1,958,305.85
5. Step 5: Solve for x
   x = 1,958,305.85/1,662.21
6. Step 6: Final answer
   x = 1,178.13