Finding the Fourth Proportional to 9,377.51, 12,946.58 and 5,845.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,377.51 : 12,946.58 = 5,845.50 : x
2. Step 2: Convert to fraction form
   9,377.51/12,946.58 = 5,845.50/x
3. Step 3: Cross multiply
   9,377.51x = 12,946.58 × 5,845.50
4. Step 4: Simplify right side
   9,377.51x = 75,679,233.39
5. Step 5: Solve for x
   x = 75,679,233.39/9,377.51
6. Step 6: Final answer
   x = 8,070.29