Finding the Fourth Proportional to 2,428.10, 3,642.02 and 784.61

Step by Step Solution

1. Step 1: Write the proportion equation
   2,428.10 : 3,642.02 = 784.61 : x
2. Step 2: Convert to fraction form
   2,428.10/3,642.02 = 784.61/x
3. Step 3: Cross multiply
   2,428.10x = 3,642.02 × 784.61
4. Step 4: Simplify right side
   2,428.10x = 2,857,543.18
5. Step 5: Solve for x
   x = 2,857,543.18/2,428.10
6. Step 6: Final answer
   x = 1,176.87