Finding the Fourth Proportional to 9,466.02, 14,200.74 and 3,916.35

Step by Step Solution

1. Step 1: Write the proportion equation
   9,466.02 : 14,200.74 = 3,916.35 : x
2. Step 2: Convert to fraction form
   9,466.02/14,200.74 = 3,916.35/x
3. Step 3: Cross multiply
   9,466.02x = 14,200.74 × 3,916.35
4. Step 4: Simplify right side
   9,466.02x = 55,615,068.10
5. Step 5: Solve for x
   x = 55,615,068.10/9,466.02
6. Step 6: Final answer
   x = 5,875.23