Finding the Fourth Proportional to 1,059.84, 1,459.20 and 1,002.24

Step by Step Solution

1. Step 1: Write the proportion equation
   1,059.84 : 1,459.20 = 1,002.24 : x
2. Step 2: Convert to fraction form
   1,059.84/1,459.20 = 1,002.24/x
3. Step 3: Cross multiply
   1,059.84x = 1,459.20 × 1,002.24
4. Step 4: Simplify right side
   1,059.84x = 1,462,468.61
5. Step 5: Solve for x
   x = 1,462,468.61/1,059.84
6. Step 6: Final answer
   x = 1,379.90