Finding the Fourth Proportional to 2,516.34, 3,774.09 and 784.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,516.34 : 3,774.09 = 784.50 : x
2. Step 2: Convert to fraction form
   2,516.34/3,774.09 = 784.50/x
3. Step 3: Cross multiply
   2,516.34x = 3,774.09 × 784.50
4. Step 4: Simplify right side
   2,516.34x = 2,960,773.61
5. Step 5: Solve for x
   x = 2,960,773.61/2,516.34
6. Step 6: Final answer
   x = 1,176.62