Finding the Fourth Proportional to 1,609.61, 2,410.63 and 785.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,609.61 : 2,410.63 = 785.30 : x
2. Step 2: Convert to fraction form
   1,609.61/2,410.63 = 785.30/x
3. Step 3: Cross multiply
   1,609.61x = 2,410.63 × 785.30
4. Step 4: Simplify right side
   1,609.61x = 1,893,053.72
5. Step 5: Solve for x
   x = 1,893,053.72/1,609.61
6. Step 6: Final answer
   x = 1,176.10