Finding the Fourth Proportional to 1,561.83, 2,343.06 and 782.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,561.83 : 2,343.06 = 782.34 : x
2. Step 2: Convert to fraction form
   1,561.83/2,343.06 = 782.34/x
3. Step 3: Cross multiply
   1,561.83x = 2,343.06 × 782.34
4. Step 4: Simplify right side
   1,561.83x = 1,833,069.56
5. Step 5: Solve for x
   x = 1,833,069.56/1,561.83
6. Step 6: Final answer
   x = 1,173.67