Finding the Fourth Proportional to 1,538.82, 2,123.53 and 840.19

Step by Step Solution

1. Step 1: Write the proportion equation
   1,538.82 : 2,123.53 = 840.19 : x
2. Step 2: Convert to fraction form
   1,538.82/2,123.53 = 840.19/x
3. Step 3: Cross multiply
   1,538.82x = 2,123.53 × 840.19
4. Step 4: Simplify right side
   1,538.82x = 1,784,168.67
5. Step 5: Solve for x
   x = 1,784,168.67/1,538.82
6. Step 6: Final answer
   x = 1,159.44