Finding the Fourth Proportional to 1,602.42, 2,402.77 and 822.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,602.42 : 2,402.77 = 822.10 : x
2. Step 2: Convert to fraction form
   1,602.42/2,402.77 = 822.10/x
3. Step 3: Cross multiply
   1,602.42x = 2,402.77 × 822.10
4. Step 4: Simplify right side
   1,602.42x = 1,975,317.22
5. Step 5: Solve for x
   x = 1,975,317.22/1,602.42
6. Step 6: Final answer
   x = 1,232.71