Finding the Fourth Proportional to 1,030.64, 1,422.06 and 588.53

Step by Step Solution

1. Step 1: Write the proportion equation
   1,030.64 : 1,422.06 = 588.53 : x
2. Step 2: Convert to fraction form
   1,030.64/1,422.06 = 588.53/x
3. Step 3: Cross multiply
   1,030.64x = 1,422.06 × 588.53
4. Step 4: Simplify right side
   1,030.64x = 836,917.86
5. Step 5: Solve for x
   x = 836,917.86/1,030.64
6. Step 6: Final answer
   x = 812.04