Finding the Fourth Proportional to 1,178.37, 1,624.29 and 784.71

Step by Step Solution

1. Step 1: Write the proportion equation
   1,178.37 : 1,624.29 = 784.71 : x
2. Step 2: Convert to fraction form
   1,178.37/1,624.29 = 784.71/x
3. Step 3: Cross multiply
   1,178.37x = 1,624.29 × 784.71
4. Step 4: Simplify right side
   1,178.37x = 1,274,596.61
5. Step 5: Solve for x
   x = 1,274,596.61/1,178.37
6. Step 6: Final answer
   x = 1,081.66