Finding the Fourth Proportional to 1,056.89, 1,585.34 and 407.17

Step by Step Solution

1. Step 1: Write the proportion equation
   1,056.89 : 1,585.34 = 407.17 : x
2. Step 2: Convert to fraction form
   1,056.89/1,585.34 = 407.17/x
3. Step 3: Cross multiply
   1,056.89x = 1,585.34 × 407.17
4. Step 4: Simplify right side
   1,056.89x = 645,505.83
5. Step 5: Solve for x
   x = 645,505.83/1,056.89
6. Step 6: Final answer
   x = 610.76