Finding the Fourth Proportional to 1,056.42, 1,457.82 and 590.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,056.42 : 1,457.82 = 590.76 : x
2. Step 2: Convert to fraction form
   1,056.42/1,457.82 = 590.76/x
3. Step 3: Cross multiply
   1,056.42x = 1,457.82 × 590.76
4. Step 4: Simplify right side
   1,056.42x = 861,221.74
5. Step 5: Solve for x
   x = 861,221.74/1,056.42
6. Step 6: Final answer
   x = 815.23