Finding the Fourth Proportional to 1,430.34, 1,973.59 and 840.66

Step by Step Solution

1. Step 1: Write the proportion equation
   1,430.34 : 1,973.59 = 840.66 : x
2. Step 2: Convert to fraction form
   1,430.34/1,973.59 = 840.66/x
3. Step 3: Cross multiply
   1,430.34x = 1,973.59 × 840.66
4. Step 4: Simplify right side
   1,430.34x = 1,659,118.17
5. Step 5: Solve for x
   x = 1,659,118.17/1,430.34
6. Step 6: Final answer
   x = 1,159.95