Finding the Fourth Proportional to 2,102.34, 2,899.72 and 1,822.08

Step by Step Solution

1. Step 1: Write the proportion equation
   2,102.34 : 2,899.72 = 1,822.08 : x
2. Step 2: Convert to fraction form
   2,102.34/2,899.72 = 1,822.08/x
3. Step 3: Cross multiply
   2,102.34x = 2,899.72 × 1,822.08
4. Step 4: Simplify right side
   2,102.34x = 5,283,521.82
5. Step 5: Solve for x
   x = 5,283,521.82/2,102.34
6. Step 6: Final answer
   x = 2,513.16