Finding the Fourth Proportional to 1,538.84, 2,123.54 and 840.22

Step by Step Solution

1. Step 1: Write the proportion equation
   1,538.84 : 2,123.54 = 840.22 : x
2. Step 2: Convert to fraction form
   1,538.84/2,123.54 = 840.22/x
3. Step 3: Cross multiply
   1,538.84x = 2,123.54 × 840.22
4. Step 4: Simplify right side
   1,538.84x = 1,784,240.78
5. Step 5: Solve for x
   x = 1,784,240.78/1,538.84
6. Step 6: Final answer
   x = 1,159.47