Finding the Fourth Proportional to 1,565.56, 2,345.82 and 916.84

Step by Step Solution

1. Step 1: Write the proportion equation
   1,565.56 : 2,345.82 = 916.84 : x
2. Step 2: Convert to fraction form
   1,565.56/2,345.82 = 916.84/x
3. Step 3: Cross multiply
   1,565.56x = 2,345.82 × 916.84
4. Step 4: Simplify right side
   1,565.56x = 2,150,741.61
5. Step 5: Solve for x
   x = 2,150,741.61/1,565.56
6. Step 6: Final answer
   x = 1,373.78