Finding the Fourth Proportional to 1,030.05, 1,421.41 and 588.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,030.05 : 1,421.41 = 588.10 : x
2. Step 2: Convert to fraction form
   1,030.05/1,421.41 = 588.10/x
3. Step 3: Cross multiply
   1,030.05x = 1,421.41 × 588.10
4. Step 4: Simplify right side
   1,030.05x = 835,931.22
5. Step 5: Solve for x
   x = 835,931.22/1,030.05
6. Step 6: Final answer
   x = 811.54