Finding the Fourth Proportional to 1,585.15, 2,376.71 and 761.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,585.15 : 2,376.71 = 761.78 : x
2. Step 2: Convert to fraction form
   1,585.15/2,376.71 = 761.78/x
3. Step 3: Cross multiply
   1,585.15x = 2,376.71 × 761.78
4. Step 4: Simplify right side
   1,585.15x = 1,810,526.33
5. Step 5: Solve for x
   x = 1,810,526.33/1,585.15
6. Step 6: Final answer
   x = 1,142.18