Finding the Fourth Proportional to 1,402.30, 2,103.18 and 824.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,402.30 : 2,103.18 = 824.50 : x
2. Step 2: Convert to fraction form
   1,402.30/2,103.18 = 824.50/x
3. Step 3: Cross multiply
   1,402.30x = 2,103.18 × 824.50
4. Step 4: Simplify right side
   1,402.30x = 1,734,071.91
5. Step 5: Solve for x
   x = 1,734,071.91/1,402.30
6. Step 6: Final answer
   x = 1,236.59