Finding the Fourth Proportional to 2,407.60, 3,612.30 and 947.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,407.60 : 3,612.30 = 947.78 : x
2. Step 2: Convert to fraction form
   2,407.60/3,612.30 = 947.78/x
3. Step 3: Cross multiply
   2,407.60x = 3,612.30 × 947.78
4. Step 4: Simplify right side
   2,407.60x = 3,423,665.69
5. Step 5: Solve for x
   x = 3,423,665.69/2,407.60
6. Step 6: Final answer
   x = 1,422.02