Finding the Fourth Proportional to 1,607.02, 2,411.61 and 785.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,607.02 : 2,411.61 = 785.86 : x
2. Step 2: Convert to fraction form
   1,607.02/2,411.61 = 785.86/x
3. Step 3: Cross multiply
   1,607.02x = 2,411.61 × 785.86
4. Step 4: Simplify right side
   1,607.02x = 1,895,187.83
5. Step 5: Solve for x
   x = 1,895,187.83/1,607.02
6. Step 6: Final answer
   x = 1,179.32