Finding the Fourth Proportional to 1,030.10, 1,421.55 and 588.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,030.10 : 1,421.55 = 588.02 : x
2. Step 2: Convert to fraction form
   1,030.10/1,421.55 = 588.02/x
3. Step 3: Cross multiply
   1,030.10x = 1,421.55 × 588.02
4. Step 4: Simplify right side
   1,030.10x = 835,892.72
5. Step 5: Solve for x
   x = 835,892.72/1,030.10
6. Step 6: Final answer
   x = 811.47