Finding the Fourth Proportional to 1,607.60, 2,409.72 and 784.74

Step by Step Solution

1. Step 1: Write the proportion equation
   1,607.60 : 2,409.72 = 784.74 : x
2. Step 2: Convert to fraction form
   1,607.60/2,409.72 = 784.74/x
3. Step 3: Cross multiply
   1,607.60x = 2,409.72 × 784.74
4. Step 4: Simplify right side
   1,607.60x = 1,891,003.67
5. Step 5: Solve for x
   x = 1,891,003.67/1,607.60
6. Step 6: Final answer
   x = 1,176.29