Finding the Fourth Proportional to 1,607.76, 2,410.83 and 784.80

Step by Step Solution

1. Step 1: Write the proportion equation
   1,607.76 : 2,410.83 = 784.80 : x
2. Step 2: Convert to fraction form
   1,607.76/2,410.83 = 784.80/x
3. Step 3: Cross multiply
   1,607.76x = 2,410.83 × 784.80
4. Step 4: Simplify right side
   1,607.76x = 1,892,019.38
5. Step 5: Solve for x
   x = 1,892,019.38/1,607.76
6. Step 6: Final answer
   x = 1,176.80