Finding the Fourth Proportional to 1,430.23, 1,973.68 and 840.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,430.23 : 1,973.68 = 840.82 : x
2. Step 2: Convert to fraction form
   1,430.23/1,973.68 = 840.82/x
3. Step 3: Cross multiply
   1,430.23x = 1,973.68 × 840.82
4. Step 4: Simplify right side
   1,430.23x = 1,659,509.62
5. Step 5: Solve for x
   x = 1,659,509.62/1,430.23
6. Step 6: Final answer
   x = 1,160.31