Finding the Fourth Proportional to 7,566.86, 10,442.52 and 4,164.01

Step by Step Solution

1. Step 1: Write the proportion equation
   7,566.86 : 10,442.52 = 4,164.01 : x
2. Step 2: Convert to fraction form
   7,566.86/10,442.52 = 4,164.01/x
3. Step 3: Cross multiply
   7,566.86x = 10,442.52 × 4,164.01
4. Step 4: Simplify right side
   7,566.86x = 43,482,731.60
5. Step 5: Solve for x
   x = 43,482,731.60/7,566.86
6. Step 6: Final answer
   x = 5,746.47