Finding the Fourth Proportional to 1,023.76, 1,412.83 and 558.01

Step by Step Solution

1. Step 1: Write the proportion equation
   1,023.76 : 1,412.83 = 558.01 : x
2. Step 2: Convert to fraction form
   1,023.76/1,412.83 = 558.01/x
3. Step 3: Cross multiply
   1,023.76x = 1,412.83 × 558.01
4. Step 4: Simplify right side
   1,023.76x = 788,373.27
5. Step 5: Solve for x
   x = 788,373.27/1,023.76
6. Step 6: Final answer
   x = 770.08